Putting all of the legality aside for a moment, let me ask you an honest question:
Should a man give up his religious beliefs to a) run a business and b) adhere to public accommodation laws?
Accommodating gay Americans – whether compelled to do so by law or not – does not constitute one to “give up his religious belief,” it’s a manifestation of ignorance and hate, not religious doctrine or dogma.
What a bunch of garbage. If his faith tells him that homosexuality is wrong, and you force him to serve homosexuals against his will; guess what you just did? Forced him to rescind his beliefs to accommodate a group of people who's lifestyle he sees as sinful. The ignorance here is you thinking this works only one way.
So an EMT can refuse to treat a gay person at an accident scene because of their religious beliefs.
We are a nation of LAWS, not of men and their various and changing like the wind religious beliefs.