Depends which gay rights laws. Laws allowing gay people to have sex, serve in the military, adopt children, and marry don't infringe on religious liberty because they don't force you to do anything. You can disagree with gay rights, but it doesn't infringe on your liberty. The issue where you can see a conflict is with discrimination law. For example, should a Christian baker be able to refuse a wedding cake for a gay wedding? In reality this is not a clash between gay rights and religious liberty but it is a clash between anti-discrimination laws and religious liberty. The concept of forcing private individuals to provide their labor in an equal manner vs. the right of people to live out their faith in their daily life when they are not doing harm unto others (I don't consider refusing association or a transaction to be harming someone). I have somewhat of a different outlook on this issue that conservatives do. Conservatives try to pass Religious Freedom laws that in theory allow refusal to gays for religious reasons only. Ok, that is a start, but my view is that the party being refused and the reason for refusal don't matter. A private business should not be require to provide their services to anyone, period. The reason for refusal shouldn't HAVE TO BE religious and gays aren't the only class that should be able to be legally refused service. The only area I see a reason where the government would compel service is if it is a large, incorporated business that is the only or one of the few proprietors of a service. An example of this is a phone company, electric company, water company, gas company ect. Also, a mega-corporation like Wal-Mart should not be able to deny service for any reason. However, it is very unlikely a large corporation would engage in discriminatory practices because it would hurt their bottom line and literally, the reason for a corporation to exist is to make a profit that goes to their shareholders. I believe in freedom and consistency, and I just hate the idea of the government compelling you to serve someone when you don't want to, simple as that.
Why don't you just admit you are for discrimination? You try and make it seem like you don't but then you say "anyone should be able to discriminate unless they're a large corporation". Besides, nobody is making anyone violate their religious beliefs when it comes to themselves, but when you open a business or take a job you are required to follow the law of the land, which is separate from the church. Don't like it? Go do something else, but you can't discriminate against someone because you don't believe they should have rights, no matter how small you are.
