Well, I had to figure it out partially because the new feature, the one on one debates, won't work with tapatalk either, without a few changes to tapatalk stuff. However, I think I have a way to get it to work. Once again, it won't have full functionality, but if somebody starts a debate thread you'll get your PM and be able to only participate in the threads you are a participant in...
If a Tapatalk user wants to call out somebody for a debate they'll have to access the site using a browser. Until I figure out their code at least.