2014: the year Muslims became 5.3 percent of the UK's population

 And how has that played itself out?  The entire list of ways enumerated in this Gatestone Institute article is too long to excerpt, but here are some highlights.

From last January:

In January, an analysis of census data showed that nearly 10% of the babies and toddlers in England and Wales are Muslim. The percentage of Muslims among children under five is almost twice as high as in the general population. By way of comparison, fewer than one in 200 people over the age of 85 are Muslim, an indication of the extent to which the birth rate is changing the religious demographic in Britain.

Also in January, Muslim fundamentalists threatened to behead a fellow British Muslim after he posted an innocuous image of Mohammed and Jesus on his Twitter account. The death threats against Maajid Nawaz, a Liberal Democrat Party candidate for British Parliament, added to the growing number of cases in which Islamists are using intimidation tactics to restrict the free speech rights of fellow Muslims in Europe.

On January 16, a Muslim woman was arrested by counter-terrorism police at Heathrow Airport as she was preparing to board a flight to Turkey. Nawal Masaad, 26, is accused of trying to smuggle £16,500 ($27,000; €20,000) in her underwear to jihadists in Syria. She and her alleged co-conspirator, Amal El-Wahabi, 27—a Moroccan who does not work and claims British social welfare benefits for herself and two young sons—were the first British women to be charged with terrorism offenses linked to the conflict in Syria.

On January 23, the head of Scotland Yard's counter-terrorism unit, Commander Richard Walton, revealed that 14 British minors were arrested on charges linked to the Syrian conflict in January alone, compared to 24 for the whole of 2013. He said it was "almost inevitable" that some fighters would try to mount attacks in Britain upon their return.

From April:

On April 17, the Sheffield Crown Court found Aras Hussein, 21, guilty of beheading his girlfriend, Reema Ramzan, 18, with a kitchen knife in her apartment in Sheffield in June 2013. He was sentenced to life, with a minimum of 20 years in prison.
On April 30, a jury at the Manchester Crown Court heard how Ahmed Al-Khatib, 35, murdered his wife for becoming "too westernized." The prosecution told the jury that the mother of three had been "in fear of her husband" and "believed he might one day kill her." She eventually sought help from the police and a lawyer. The prosecutor said:
"The family of the defendants were insulted that she had gone to the law. They wanted her and her children back within the family fold... Therefore, it was decided that she should either be forced to comply or be killed."
On April 19, the Charity Commission, a government agency that regulates charities in the UK, announced a crackdown on Muslim charities that send money to jihadist groups in Syria.
On April 24, British counter-terrorism officials launched a nationwide campaign aimed at encouraging Muslim women to contact the police if they were concerned that their family members or close friends might be preparing to travel to Syria to fight.

Also on April 24, a group of British lawyers launched a new organization called "Sharia Watch UK" to "highlight and expose those movements in Britain which advocate and support the advancement of Islamic law in British society." The group called Sharia law "Britain's Blind Spot." 

From August:

On August 21, it emerged that there are now more British Muslims fighting for the Islamic State than for Britain's military.

On August 23, the former Archbishop of Canterbury, Lord Carey, warned that radical Islam is on the rise and "imperiling our way of life, threatening to undermine the values that have been bitterly won over the centuries." He called on Britons to "recover a confidence in our own nation's values. For too long we have been self-conscious and even ashamed about British identity." He added:

"By embracing multiculturalism and the idea that every culture and belief is of equal value we have betrayed our own traditions of welcoming strangers to our shore.
"The fact is that for too long the doctrine of multiculturalism has led to immigrants establishing completely separate communities in our cities. This has led to honor killings, female genital circumcision and the establishment of sharia law in inner-city pockets throughout the UK."

On August 26, Alexis Jay, the leader of an independent inquiry in the sexual abuse of children in Rotherham, released a horrifying report that found that gangs of mainly Muslim men of Pakistani heritage had groomed, terrorized and abused at least 1,400 girls, some as young as 11, in Rotherham over a 16-year period between 1997 and 2013.

On August 31, the Independent on Sunday reported that a House of Commons committee would launch an investigation into whether Tony Blair's Labour government knew about the Rotherham child abuse scandal as far back as 2001, but refused to act because of his government's desire to pacify Muslim communities.

On August 30, a straw poll conducted by the BBC's Saturday Morning Live Show found that 95% of respondents said that they think multiculturalism in Britain is a failure.

From November:

In London Borough of Croydon, a couple from Afghanistan threatened to kill their daughter if she rejected a forced marriage and to behead her if she contacted authorities for help.
On November 5, Sir Bernard Hogan-Howe, the Metropolitan Police Commissioner, told an international terrorism conference that his officers are "struggling to cope" with the speed of immigration and because many of those coming to Britain speak different languages and hold different views of authority.
On November 16, senior officials at Scotland Yard advised British police officers not to wear their uniforms on the way to and from work amid concerns that Islamic extremists are plotting to target them on the streets.
On November 10, The Times reported that British intelligence officials warned senior ministers that the scale of terrorist activity is so great that an attack is "almost inevitable" in the coming months.
On November 26, the British government unveiled sweeping new counter-terrorism measures which—if approved by Parliament—would give the United Kingdom some of the "toughest powers in the world" to fight Islamic terrorism.
On November 12, the BBC reported that the British Islamist Abu Rumaysah skipped bail after being arrested on terrorism charges and is thought to be in Syria, despite being banned from leaving the UK. Rumaysah left London on a bus bound for Paris after blundering police failed to confiscate his passport. On November 2, 60 Minutes aired an interview with Rumaysah, who said:
"Ultimately, I want to see every single woman in this country [Britain] covered from head to toe. I want to see the hand of the thief cut. I want to see the adulterer stoned to death. I want to see Sharia law in Europe. And I want to see it in America, as well. I believe our [Sharia] patrols are a means to an end."

And, as I say, that's just a taste.