Speaking from experience, they're going to be on good behavior around you and others. It's what happens when they think no one will notice or no one will hold them to account when real discrimination occurs.
I've met plenty of people who claim to be LGBT supporters in public, but have no problem harassing LGBT people, discriminating against them and calling them slurs when they think no one else is looking. Same thing goes for people in power, like bosses and owners, or police and judges. Discrimination doesn't always look like American History X or the Westboro Baptist Church, the vast majority of it is low key and insidious.
That's the very reason I suggested staying away from the bars. When people are drunk their inhibitions are gone and judgement is very poor. The LGBT hate crime that I know of happened about 23 years ago outside a bar.
That may be true in some areas. I can only speak anecdotally. I brought a couple members of the LGBT community with me to a very rural area that is about as cowboy-midwest as it gets. Everyone has been very civil and even the "Good ol boys" have been very respectful with them to my pleasant surprise. There are plenty of openly LGBT working in the local stores.
All of that said I have advised them against hanging out in the local bars after listening to the scanner a bit. There are a few regular angry drunks. Perhaps I am too overly cautious.