I know that this is an old thread but I wanted to chime in.
My '60 has the original front suspension and it drives and handles very well. Very easy stearing and handles the bumps good. The only thing I plan to do is an anti-sway bar for the body roll around corners.
I wouldn't change out the front suspension unless your vision is for a lowered hot rod. If I were you, I would get the engine running well and give it a try!
The others on this thread are saying the same thing and these guys know their stuff. Remember, we are not talking about a straight axle here. Personially, I have owned over 70 vehicles in my life, mostly trucks, and my '60 is one of the best driving old trucks I have owned.