You're going to have to provide some examples of how we're "denying others their freedom from religion". Last I checked, I have yet to see one court case, where anyone from my "religious side" is attempting to mandate that you pray or attend sunday school, or even believe in God. Last I checked it was those who don't practice religion, attempting to use lawsuits to force those who do, to accept and respect a choice of living contrary to their religious beliefs
In other words, it appears you have it bassackwards
The bakery case is one such attempt, where religion was brought up in order to discriminate against someone who believes differently. It's not necessariy a matter of the religious trying to mandate that others pray, attend Sunday school, or believe in some god; it's a matter of the religious trying to enforce their beliefs on others.
Don't believe in abortion? Don't get one. Work within the law to try to change the law. Don't bomb abortion clinics or threaten or even actually assassinate abortion providers.
Believe homosexuality is a sin? So are a lot of other things...how many sins do you commit every day? Woud you appreciate being denied service because of any of them?
Don't believe in same sex marriage? Then get a job where you are not required, BY LAW, to issue same sex marriage licenses or otherwise facilitate them.
You want to pray, go to church, whatever, by all means, go ahead. But remember, you are also accountable to civil law, and you are admonished to '...render unto Caesar that which is Caesar's...', meaning to obey civil law, pay your taxes, etc. And civil law, in this country, says that you can NOT discriminate against anyone on the basis of race, religion, sex, age, or sexual preference.