Hi Gregory,
Reflecting over my past years, I've crossed swords with more than a few people in my lifetime but I can't honestly say that any of my disputes with colleagues, neighbours, employers, authorities and every day guys in the street were about my faith. Yes, I've had many discussions with people of other faiths and unbelievers about my faith but none of them descended into an atmosphere of hate or hostility. Maybe I've just been fortunate but in my experience I don't detect widespread antagonism or hostility towards Christianity in the UK; no it's much worse than that, most people are totally ambivalent towards the gospel message. The most common response is that church and Christianity, are boring. If Bible prophesies are correct that will change. That said I'm sure that many Christians in western countries have had unfortunate and unpleasant encounters, but they're not every day events that our poor dear brothers and sisters suffer in many parts of Africa, former communist States, Muslim majority and many other countries. BTW it should be said that the church is growing at a rate of knots in these countries.
Back to the situation in the West, look again at the video posted by OP. The newscasters, I don't know if they are Christian or not, most likely not, but they were outraged that the pastor was being silenced by an officer of the state; an affrontary upon free speech. Does everyone hate us? Is there widespread hostility towards Christians in the UK? In all honesty, that's not been my experience.
However IMO Christians who preach a gospel of hate will meet with hostility. Some dress it up as 'love the sinner, hate the sin', not a Scriptural concept at all. But if anyone stands on a soapbox proclaiming that any section of society are somehow inferior, whether Muslim, black, gay, communist or anything else; right thinking people will react with disdain and hostility. That's across the board and so it can't be labelled as Christian persecution.
Let's rewind 2000 years. Treating underclasses with disdain, keeping them at arms length or avoiding them altogether was mainstream. Underclasses - widows, tax collectors, prostitutes, Samaritans, even Gentiles. Religious leaders were right at the front and cherished this system. Then came Jesus who welcomed and reached out to every single one of those categories, worse than that He challenged the authorities head on about their ice cold hearts, absence of empathy and doggedly clinging to traditions, customs and the law as justification of their really hateful ideology.
On the gay question, I see many similarities with Christians who've hardened their hearts against God with a Phariseeacle attitude towards gays and even the black community. Now before you launch an attack on me, let me clarify once again, I am NOT saying that God is fine with gay sex but what I am saying is that it's not the gay unbeliever's sexuality that's keeping him out of the kingdom of God, rather it's his failure to repent of ALL of his sin and accept Jesus's invitation of salvation. Put another way, if a gay man ditches his boyfriend and gets himself a girlfriend: is he any closer to God?
For the believer a different set of principles apply. Gay sex is a no no. The gay Christian is asked to remain celibate, a huge ask that I'm sure that God will reward with a crown so dazzling that the rest of us'll need sunglasses just to look at it! Brother Paul rightly points out that sex sins are more destructive than regular sins -
Flee immorality. Every other sin that a man commits is outside the body, but the immoral man sins against his own body. 1 Corinthians 6:18. But what has that got to do with non-believers?