FWIW,
I run radial tires of modern design/build/supply on my two coupes.
I ran the bias ply tires originally supplied and will not go back.
The car drives much easier, typically you don't turn the steering wheel unless the car is rolling at least some. The radials track much better on less than perfect roadways and running above 60 is much less exciting.
Yes, for brakes, all hydraulic and stopping is not a problem.
The original car design was for roads in the late 20's, now a days the requirements have changed, some...
John