My vote is don't do it. Mechanical brakes PROPERLY RESTORED will stop the car just as quick as hydraulic. The skinny tires are the limiting factor. Hydraulics won't help that.
Ditto on that. Problem with hydraulics is that everyone uses the 1940ish hydraulic brake backing plates, drums, shoes, and "conversion kit." Which if you started with the rightly proportioned brake cylinders and other parts, would work fine.
Problem is the 1940 plus Ford cars were half again as heavy as the Model A, had the advantage of wider tires, and different (more even) car weight proportioning between front and back. The majority of braking on any car occurs on the FRONT because of the moving inertia of the car, the location of the car center of gravity above the road, and from this a natural tendency for the tire front loading to be greater than the rear.
The problem with the 1940s era backing plates (other than physical differences causing one to "slot" bolt holes, put holes in it to clear the spring perches, and use space rings AND go to the larger diameter drums) is that this "proportion" is all wrong.
Not that it can't be corrected. Brake design is an entire science of its own. And experts have always had "aftermarket kits" for putting hydraulic brakes to non-hydraulic vehicles (Ruckstell started with the Model T IIRC) and more recently disk/caliper combinations which can be VERY finely matched to the car. Some of these latter adaptations can be hidden within the existing brake drums and can be visually unobtrusive. A factor I might favor - unless the objective is to be seen as "different," which motivates some.
But for all this engineering you pay a pretty penny - and if you're going to keep the existing 19 or 21 inch wheels, there is hardly a point to paying all that extra for it. Hydraulics will NOT improve your braking power, and might even hinder it. The rubber to the road is the brake limitation. With hydraulic brakes you may not be able to correct in adjustment - at least not without contacting the manufacturer. And assuming they "engineered in" an adjustment.
For my opinion, the best bang for the buck you can do to improve braking is to get away from the pressed steel drums and put on cast iron drums. Pressed steel not a great idea when Henry adopted them. I suspect they were more a cost saving expediency in mass production. Plus the drivers of the day were used to the Model T of which the Model A even with pressed steel drums was head and shoulders above in stopping ability.
Even Ford late in production went to cast iron drums, and a similar cast iron ring with a pressed steel center for the later Ford hydraulic brakes.
The original 1928 mechanical brake design was actually quite superior in that it gave a "self-adjusting" modus. The split brake actuating shaft corrected any developed bias in the brakes left to right evening pad pressure left to right. The later non-split brake actuating shaft was a step backwards, but not a fatal one, and pad pressure can be evened out.
And brake "floaters" tend to improve and even out the pad pressure within the wheels themselves. It is a function that is already "built in" to the Ford design, but the floaters achieve the same equalization with less tendency of hang-up.
Going on...
Fords own instruction for adjustment of mechanical braking is counter to what most might advocate today, and certainly different from modern cars. Ford in his instruction "biased" the brakes to the rear to cause the rear wheels to grab first in the rationale that "this will keep the car from swinging around and doing a 180 in the stop." Ford apparently never came to the thought that once a tire skids - it's useless as a brake. Rather, the best braking occurs just at the margin before the rubber leaves the road, i.e. incipient skid.
Today ALL manufacturers bias the brakes so that the front tends to grab first - drivers today are used to it and the term now used in auto education to describe the natural reaction in panic stopping of "steering the skid." Rear bias will not allow this with a tendency for the car under the action of steering the skid to swing around and do EXACTLY do what Ford was trying to avoid by rear bias. IMHO rear bias CAUSES accidents and deprives drivers of a useful tool for accident avoidance.
A forward brake bias takes advantage of inertia and the additional rubber pressure on the road for a quicker stop. And with it a panic stop can be "steered" successfully and keeping the wheels in line.
Getting to this point with mechanical brakes CAN be a challenge - but the adjustment is intuitive - you do what seems to make the brakes work BETTER.
There are instructions online about using "measured sticks" and gauging action of the brakes against the sticks. These work, but give you basically a "starting point" for finer tuning of brake capability.
I myself use a road with a fine layer of sand or gravel. This I find gives the best proportion front to back, and you can tell by the skid marks which wheels are grabbing first, and how evenly left to right.
Dad used to do the same thing in a driveway covered in pea-stone back in the 1930s.
Anyway, a lot here all at once. And no doubt will be a "seed for discussion."
Joe K