Switch to disc in rear

this should not be the case at all. It is unsprung.
IF anything, the disc will weigh less and allow the car to go faster.
IF it was "Sprung weight" on the car, then you have something.

Dr.Diff has kits that will help out. You can re-use your old wheels and tires. Not an issue. Upgraded axles can also be had at Dr.Diff but IIRC, only in the larger 5X4-1/2 pattern. Upgarding the front discs to a 5X4-1/2 is also an EZ kit away. Factory or not.

I would agree to a point. The power train will have less effort in spinning lighter rotors and rebound in the suspension will be a little harsher with more unsprung weight. However, by moving more weight rearward, the vehicle moves away from being nose heavy and should handle a little better. You are still accelerating the same mass whether it is sprung or unsprung weight so Im not sure it would be faster. The biggest point I would make is that there is not enough difference made in the car's braking for the amount of money spent to convert to disk rather than bigger drums.