Gets hot and stalls out

It's not that the alternator is "too big" it's that the car's wiring "ain't enough".
Well sirs (making an assumption there but would love to know if I’m talking with any ma’am’s out there) I answered this previously but will do so again: it was recommended by a builder and the car has been rewired nose to tail with all new wiring, including fuse boxes. So I’m not worried about the wiring, and since I’ve learned it’s (the alt) also internally regulated I’m even less concerned. It is what it is at this point, I’m not swapping it. And yes, at some point I may add some A/C. Maybe not window A/C, but still.

I should also add that based on RustyRat’s response, a lack of amps is definitely not the issue.