Theland you do rather shove your beliefs down people's necks or at least ridicule those who don't agree with you, but you're entitled to ask whatever questions you like.
To answer the latest one, when Henry VIII broke form Rome he made himself head of the Church of England, that title has been inherited ever since by whichever monarch took the throne. Is the Queen genuinely religious? Maybe, maybe not, no-one can know except her, but it is her job to be Head of the Church in this country, so unless she didn't fancy the job of Queen as a whole, if she wasn't particularly religious she'd have done well to keep quiet. That's true of all our monarchs, so like the rest of us, she might be religious or she might not, just because she is head of the church I don't think you can necessarily draw any realistic conclusions one way or the other.