Yes, good call on the phase, though the temp sensitivity leads me to the other problems.Inductive loads, like motors, can cause nuisance trips on GFCI breakers even when there's nothing wrong since motors can cause the hot and neutral to be slightly out of phase.
Still, if this was running before with no issue, something's changed so it would be prudent to do a thorough check as @tvrgeek stated. It's also possible the GFCI itself is the problem, so you may want to try your drill press on another GFCI circuit, if you have one.
You don't by chance have anything else on the circuit drawing power that gets it close to tripping, do you? (ex: shop vac). My TS would run fine with my shop vac until I put a load on the saw, and then most times the GFI would trip before the breaker. Had to find a different circuit for the vac. Just a thought.
Casey: A lot of code inspectors require GFIs on every outlet circuit if its in a garage,etc. Not sure if that is the case here.
I also restore old British cars, so crappy connections I am well versed in.
Thanks for checking out the pictures. It’s not an exposed wire you are seeing, but I can understand how it looks like it in that picture. Either way, I think I will re-do that connection. I ordered a new switch with paddle type ”off” to replace the old toggle so I may need a different connector anyway.Not discounting the other possible causes but is that exposed wire in the 1st pix? If so, could it be contacting something inside the press when you reassemble it?
Another possibility - the insulation is damaged from overheating and you're getting leakage between the hot and ground inside the black sheath. Can't tell for sure from the picture.
It is possible to partially check certain types of capacitors with an ohmmeter but exactly what you'll see on a good one varies with the ohmmeter and capacitor. More realistic to just replace it unless you have a cap tester.
As a general rule, most interpretations of the NEC allow the use of non-GFCI protection on dedicated branch circuits that supply refrigerators, freezers, or other appliances that remain plugged in all the time.I am telling you to ignore the codes but let me tell you a little story. We built an addition to our church two years ago. The addition included a new kitchen in which we had a dedicated circuit for a commercial refrigerator and a separate dedicated circuit for a commercial freezer. Code dedicated every outlet in the kitchen had to be on a GFI. From almost day one the freezer started blowing the GFI. Three service calls and three GFI outlets later the company replaced the freeze. You can guess what happened. Yup tripped GFI. Two of our church members are retired EE’s who measured the circuit and load and all in specs. So we replaced the GFI outlet with a regular 20 amp outlet and two years later the freezer is working fine.