What is missing in this discussion is a recognition of the change in performance of cars as they have developed from the days when the Model A was new.
The Model A was likely very safe on the highways and in the traffic of its time because it had performance similar to all other cars. But today 85 years later if fails to come close to the performance of the cars currently on the highways. So driving it on the same roads and at the same speeds of the cars of today is dangerous because it cannot accelerate, stop or handle the turns as well so it is never going to blend in.
It certainly won't keep up with interstate traffic. In traffic on secondary roads it won't stop anywhere near as fast as the car in front can, so leaving a lot of space is required, and we all know other drivers will quickly fill in your safe stopping distance.
If you want to blend with today's cars you need a lot more than a different tire or juice brakes. You have to have braking ability to match today's disc brakes, tire compounds, and tire size. But then you wouldn't have a Model A.