Women and men can choose to do practically any job they want if they are qualified.
Do you think they can? Practically speaking? I don't.
Men and women treated equally.
Are they treated equally in the uk? What about the pay gap? Sexual discrimination is rife!
Domestic abuse or sexual harassment of either gender is not tolerated.
Well this is a pretty recent phenomenon so I'm not sure that counts as a core value. Rape within marriage was not recognised until the 1990s
Homosexual or transgender people are not persecuted.
Except they often still are and many Brits have no issue with this
British law trumps any other law - our police shouldn't be restricted because a particular set of people follow 'their' law. You obey the law of the country you are in end of story.
Except when it's the EU 
Tolerance for others as long as they work within all the above.
Listen to any radio phone in program and see how tolerate you find most of the Brits phoning in!
It's an age old problem - "British values" aren't espoused by many, many British people so why should they be foisted onto migrants? Why should a migrant have to speak perfect English when most British teens don't? Why should a migrant have to know about Oliver Cromwell when most Brits don't?
It's an excuse for intolerance and othering, that's all.