We should note that even Robert Mugabe allows Muslims to pray and openly practice their religion. Being allowed to openly practice your religion SHOULDN'T be a special privilege, it should be a given, a norm, the bare minimum.
Persecution or discrimination of a minority doesn't only look like Burma, there are many lesser forms, for example, how african-americans are treated by the police (and economy) in the U.S.A. As soon as people are denied equal treatment or meted out disproportionate treatment, then this is discrimination (even if not all of the minority experience it). Persecution is defined as being 'hostility and ill-treatment, especially because of race or political or religious beliefs'. Considering that the UK government has declared hostility on certain religious beliefs held by Muslims (which are mainstream and 'conservative' if held by other religious groups) and taken a variety of steps (and proposed bans on freedom of expression) against anyone holding those beliefs - it would fit the dictionary definition of 'persecution', even if it involved methods much lesser than the spanish inquisition.
Would anyone go to 1950s-1960s USA and tell African-americans that they are blowing things out of proportion, because they ' live comfortable, safe and blessed lives. Most of all, they enjoy religious freedom to practice our religion openly'? Of course not. We should not be happy with scraps offered to us, when we're denied the full dignity and enforcement of rights offered to everyone else. I can't speak for [your experience in] the U.S, but based upon the incidences of Islamophobia and mosque burnings and the activities of the security agencies and the rhetoric by Western politicians (especially when they call for banning of political dissent using misleadingly vague deliberate perjoratives, such as 'extremism') I wouldn't say Western society is entirely harmonious with Muslims. I say Western society, not non-Muslims. However, as to your main argument, that Muslims have it better here than anywhere else - I disagree. Muslims live freer lives in South American countries, or South Africa and many east asian states (all these states being majority non-Muslim, which shows that the problem isn't religion but the mentality of the host society towards its minorities). I'd also add that Muslims are freer in some Western countries, like Ireland and Portugal (so I'm not saying that every Western country treats Muslims discriminatorily), but the UK, France and USA are not the 'best', not by a long shot.
As for being able to post things on facebook without fear, that is not the case in the UK, many people have been sent to jail for posting images or writing strongly worded opinions (usually Muslims). In one case, a Muslim discovered the police had profiled him based upon him reposting a link to a website of a non-violent political group which the police noted made the person unsuitable to work with children. The profile is available to read by any potential employers of that individual.
If you lived in 1950s-1960s U.S., do you think an african-american would agree with you that they should appreciate the U.S. because compared to apartheid South Africa at the time, African-americans 'live in harmony and peace' in U.S. society? I doubt it.
Just because someone out there experiences more injustice than you, doesn't mean you should accept injustice when it occurs to you.