I doubt that Mike's way would work, seen the possible forces and the holes being more or less flat inside now. (But I've never done that...)
But it yields the possibility to de-install everything! I would only glue the screws directly (then with epoxy heat-set glue) if one still could exchange the whole pivoting assembly when spares should be available.
A stronger alternative to Mike's idea might be using heat-set epoxy with metal powder added.