Along the same line, but perhaps not as elegant, instead of drilling and using a screw, I used a small common nail cut to a suitable length. I then put the point of the nail on the back (where you started your screw) and held a hot soldering iron onto the head of the nail while holding the pieces together until the nail melted itself into the button, providing a rigid support and welding the plastic at the same time. I didn't add anything like JB Weld as I was in a hurry. This was a relative's car, they had arrived early for dinner and casually mentioned their reset button wasn't working and they wanted me to have a quick look at it. I'd heard about the problem many times here, but never had to deal with it. I quickly had the cluster out to get at the pieces. Sure did impress them when I strolled back in and bragged "good as new". It's lasted many years, so perhaps I should have said better than new.
--
Dave -940's, prev 740/240/140/120 You'd think I'd have learned by now