It's good to hear your update. Had you and your girlfriend previously discussed what would happen under this scenario? She's also going through a divorce too, right? I'm sure she's sympathetic. Is she a 'serious' girlfriend, like someone who you fell totally in love with before your wife wanted to reconcile and were you considering spending the rest-of-your-life with your girlfriend? And do you believe your girlfriend has the same feelings towards you? If so, and if your girlfriend makes you happy, then it's such a tough choice. Your situation is a little different than many of ours here because your wife wasn't having an affair and she seems to have a legitimate mental illness. That also makes it a tough choice! Then there's the whole "for better or worse" aspect of marriage. And your kids and everything that you invested into your family over the years. The thing is, you and your girlfriend must not have been together for so long (I don't remember how long). Every relationship starts out great and then over the years there are bound to be some problems. So then there's the realistic view of potentially ending up stuck-in-a-rut with your girlfriend in the long-term. And then there's your wife potentially always being in your life through your kids.
I do envy you though, because now you're the empowered one who gets to decide rather than being the one who was tossed aside. I hope whatever happens you end up moving beyond this difficult time in your life and you end up with a loving companion!