Hmmm... the AC, supercharger and PS pump all share a belt. If the PS Pump is seizing up, it could be affecting the speed of the belt and therefore the speed of the supercharger. Add the AC compressor kicking on to add even more drag and it could cause the bog and die you are seeing. Look for lots of black belt dust under the hood if that is the case.
If it isn't that, a clogged cat could cause the bogging and lack of acceleration.