RE: How to beef-up tapped threads?
The threads are probably just fine the way they are. No need to go crazy with them. But if you must, I would add some epoxy to the hole, coat a nylon screw with Vaseline and insert it into the threads - Then, keep an eye on it (This would be one of the few places I would use 5-minute epoxy just so you don't have to wait too long)
Once it starts to set, turn the screw a little each way, let it sit, then turn the screw again. Repeat until the epoxy is set well and remove the screw