There isn't going to be a "compromise" that exchanges passing ENDA in return for some vague nod at allowing religious people to practice their faiths. 

The battle is over. ENDA lost. Religious liberty won. Religious liberty has both houses of Congress, the entire executive branch with the possible exception of the President elect himself (who doesn't seem to know what he thinks about anything) and it will soon have the federal courts.

Thinking this Congress is at all likely to bring ENDA up for a vote requires either a stupendous level of self-delusion or a consummate cluelessness about what just transpired in the election.

ENDA is dead. Fact.