I would think just removing the adept class and the arcana altogether would be the easiest fix for magic. That rare, unusual magic could just be unexplained mechanically as well. If it's really rare, and only unique figures can have it, then it doesn't need to be explained. As for the priests and wizards, they can take expert levels and fake it that way. Maybe give them a few new feat options or something to produce a little fake magic.
And as for the drama points, I have no idea what a drama point is, so I can't really help you there.