Did they all squeak, ride like this?
as far as the squeaking, these cars were designed to be used for ten years, then traded-in for a new Ford. My '55 was 17 years old when I got it. Everything squeaked. Thru the years, I replaced window anti-rattlers, door seals, hood & door rubber bumpers, trunk lid seal, rear leaf spring anti-squeak pads, bushings & rubber in the clamps as well as all the front suspension rubber parts. It ended up being as quiet as a new car (except for my dual glass-pack mufflers) hehe.
As far as the ride....these cars are narrow and have a high center of gravity in conjunction with weighing about 4400 lbs, they are not going to be the best ride. The best you can do is get good shock absorbers, decent tires and good front end alignment. I have overload springs on my rear shocks and they really help a lot since those old leaf springs lost their arch long ago.
Stopping? Have a power booster on 4 wheel drum but you have to apply some pressure to it.
Once upon a time, my '55 had the old power booster also. Even after working out the bugs, I still didn't believe that it was any kind of substantial improvement in braking ease, so I eventually just removed it.
As far as having ability to STOP, I suggest checking brake shoe adjustment and inspect pads on the shoes to make sure they are not coated with bearing grease.
How about navigating corners? The ride floats and absorbs the bumps well, so cushiony...
Depends upon tires. I have used 670-15's, 710-15's (lousy ride and cornering), G78-15's (a little better), P205-75R15 (best so far as these are radial construction, but you suffer some loss on your outer circumference and difficult to install on the rear).
what about speed? 60 seems to be the end of a safe? limit..
I'm inclined to agree that around 60-70 is a pretty comfortable cruising speed on the highway. I had my '55 going 112 mph one time and was scared out of my wits. Never went that fast again.
There's a number of people here that will agree...the '55-56 Ford car body doors, front fenders, etc are not the greatest fit. I have been struggling to get my '55 doors adjusted properly for many years, same for hood & front fenders. It's very difficult to get the gaps even all around while simultaneously achieving proper open/close/latch operation.