Hi Mack,
Actually, I recently did as you are contemplating. I beleive the rear axle for a '63 is the banjo style. Your car likely has the factory tube type axle. Maybe some other folks can advise if it's okay to put a banjo axle in a late model car.
Regarding the wheels and hubs--this is where you can get "burned". Hub and wheel splines wear and as they get more worn, you'll hear a clunking sound when you apply the brakes (if fronts are worn) and also when you accelerate from a stop and shift (if the rears are worn). This is what I got when I swapped mine. I inspected the splines and they "looked" good, but in fact they were not. The most telling sign of wear is if the splines come to a point, or possibly the point is starting to bend over. Healthy splines should have a squared-off look, both on the hubs and wheels. It's not a good idea to mix new hubs with worn wheels and vice versa as one will simply cause the other to wear sooner.
The other things to watch out for are rusty wheels and broken spokes. I ended up spending way more money on my conversion than I thought and I still have clunking, worn hubs. I feel I would have been better off biting the bullet and purchasing the Moss conversion kit. You don't need to change the axle and you'll get brand new kit all around. I think the wheels might even be the new tubeless type?? Not sure about that though.
Oh yes, you'll also need a parking brake cable to match your new setup if you change the axle. The wire wheel axle is 1.75 inches shorter...
Good luck,
Rick