If gay couples would accept civil marriage

This entire debate is about civil marriage. That's literally the only thing they're asking for.

and leave everyone else alone to have their own views

Who's telling you that you can't have your own views? Have your views been outlawed? Have you been threatened with jail time if you say something against gay people? Have any of the business owners who've denied services to gay people been thrown in jail? No, of course they haven't. So what are you talking about?

co-existence wouldn't be an issue.

Except that's not true, because people in various states are actively trying to make it easier to discriminate against gay people, for example, and lots of people still oppose giving gay people the right to marry.

gay marriage and religious liberty cannot co-exists because the liberals will not allow it.

So you're saying there is no religious liberty in Massachusetts, where gay marriage has been legal for a decade?

How do you define religious liberty, and how exactly does the state allowing two gay people that aren't religious or that don't share your religion to get married infringe on any of your rights?

I'm all for gay couples being able to marry legally. Just leave me and my church out of it.

Who's not leaving your church out of it?

Look. I'm an atheist. I think religion is a dumb waste of time. But I also think that you have the absolute right to believe whatever you want, regardless of how dumb I think it is. I also believe you have the right to exercise that religion however you want, provided that it doesn't hurt anyone else. I'm a very vocal supporter of marriage equality, but if the government tried to pass some law that required churches to perform gay marriages even though they're opposed to them, I'd be the first in line to protest that law as unconstitutional.

Situations like the wedding-photographer and wedding-cake cases aren't about your church. They're about business owners discriminating. You can discriminate all you want in your home and in your church. But if you open a business, you lose the absolute right to discriminate.