Yes, it would be disrespectful. But I have got to say, in my many years on these boards, and the many OP person involved, no one has ever brought their new significant other to their divorce. It believe it is strongly advised against.
I get where you are coming from on the needing some adult interaction. Most of my interaction during the week is with my 10 year old, who is cool as heck, but I need adults! My were moved in our office and I sit where I can't really talk to my coworkers anymore. Dating isn't the only way to make friends though. I am not saying don't date. I joined a gym which was kind of like the idea of crossfit, but not crossfit last year. The same group met at the same time 5 days a week. I made new friends (and an ex boyfriend, hahaha. Volunteering will also open you up to a whole new bunch of people. I hear volunteering for habitat for humanity is a great experience.
You'll meet new people. Good luck, I will be praying everything goes smoothly.
