To put context on my post, I'm an atheist with a lot of dislike towards Islam, not Muslim people as a whole (Not everyone adopts the entire religion), but the religion itself, what it represents and it's values.
You have to make a decision, your religion or your freedom. This kind of control your family has over you won't lead to a healthy life. Even if it doesn't work out with this man, you're free to see anyone you want Muslim or otherwise.
So many anon Muslims saying that you'll disgrace the faith, your family, whatever, they're a disgrace to the human race.
Unless of course your family are some of these freaky extremists you see on the news and they're likely to chop up you and your boyfriend, in which case I'd ditch your guy now if you value your life.