Having a LARGE car with Bias ply tires on it, I can safely say that the handling is well below average (close to the point of being dangerous). The alignment and suspension on the car are in good shape, but the weight of the car itself tends to work against the tires roadholding capabilities.
To go around a corner in a 1951 Frazer at 30 miles an hour you better have your insurance company and wrecker company on speed dial (after a quick conversation with God)! You will most likely end up on the other side of traffic, or on your lid!
Now try the same thing in your 32, and things will be drastically different. Your car doesn't have near as much weight working against the tires. The body sway is dramatically different. You can whip you hot rod around the corner and probably not scrub off that much speed.
And I have driven cars with Bias-ply, and radials for years. I remember the Firestone 721 issues when the steel belts would seperate from the carcass after just a few thousand miles. What I am trying to say is that make the choice that makes you happy. If it looks good to you, To H#LL with what anyone else says about it.