Cal, I think it's great that you're good with being "on your own". I've never understood that attitude of thinking one must be in a relationship or one is incomplete, either. It generally seems to me that people who think that way are very unhappy people who need to learn to be happy with themselves before they can be happy with someone else. E-harmony notwithstanding, I think the time you're most likely to find someone compatible is when you're not looking. I also don't believe there's a "soul mate" for everyone; some people don't have one, some people have several. Just enjoy your life.
Be nice to yourself. Even an amicable divorce is traumatic. And don't let those relationship-mongers get to you.