What services do Christians have to worry being denied simply for their beliefs? Where does this bigotry manifest itself?

I have NO issue with Christian beliefs or lifestyles. If you never want to consider birth control, gay marriage, or sex outside of marriage then there is NOTHING stopping you from doing so. But if you're someone who doesn't believe a collection of identical cells has a soul, or that two consenting adults who are the same gender can choose to be together suddenly you're met with a world full of bigoted Christians slamming the door in your face and passing intolerant laws to FORCE you to adhere to their belief system.

Not to mention public schools. It's not enough to believe in creationism or that sex education is taboo. Christians push for policy-level changes that forces their belief system to be taught. 

So excuse me - because people simply aren't Christian they are somehow bigoted? That is what I'm hearing.

Intolerant actually means being "illiberal".