Loctite is liquid plastic basically. It may work. I've never tried it, but you could try putting some in the hole and letting it setup. Do not put it on the screw and let it setup. It will just push the plastic around in the hole as the screw goes in. I would opt for the plastic weld slurry myself.
You could try plastic weld (or acetone, nail polish remover, etc). Put a drop of it on the plastic part and see if it melts that plastic. If it does, find some other plastic that it melts. Make a slurry by melting some plastic in the acetone, and use a toothpic to somewhat fill in the hole with...