I lived for a while way up north in Canada many years ago. Cars worked just like in real temperatures, even if it was below -40.
Most cars would have block heaters and battery blankets. The older cars you risked not being able to start without plugging in; but fuel-injected, electronic ignition cars started just fine. (My BMW does not have provision for a block heater, for example; but requires synthetic oil so it does not congeal as easily).
A friend at that time had a late-60’s car with a Ford 302 engine, recently rebuilt. The rebuilt engine was very tight, if it was left unplugged it would be too tight to even turn at -40.
Batteries must be maintained. At the time, open (not sealed) batteries were common. Deep discharge/recharge tended to cause the fluid to evaporate/electrolyze. The less fluid in a cell, the less effective that cell and the entire battery. Leave a cell low on acid for too long, the metal corrodes and the cell (and battery) is no good. Normally the acid in the battery will not freeze, but discharge it and leave it out and it will freeze. The cells are parallel plates of metal, when the electrolyte freezes it warps them, possibly they touch - effectively ruining the cell, even if you thaw the battery. Eventually, it may not hold a charge.
Plus, as mentioned, the electrochemical process that produces electricity is significantly less effective at lower temperatures, so a less than optimum battery will give no end of grief at lower temperatures. The old carbureted cars would rely on automatic choke and air flow in the carburetor to get gas into the engine, so slow cranking would mean difficult start, weaker spark. Best car for cold starts I had was the really old (85) Honda Civic, with a manual choke. full choke, crank engine while pumping the pedal, keep pumping for first 30 seconds after it fires…
Boosting cars was common. It is possible (Warning!!) to blow up a battery. The discharging of the battery creates hydrogen. Boosting could create a spark. One co-worker had a battery blow up in his face while trying to boost a dead battery. There’s a safe way to hook up two cars.
It was recommended to let the engine run for a minute or two to get the viscous oil all through the engine before putting a load on the engine by driving. Otherwise, your engine wears faster, dies sooner. Anything longer is likely just for comfort - plus for carbureted cars, running cold a lot - frequently start, drive short distance, stop - you get carbon buildup in the engine, and a good highway run will help burn that stuff off.
Antifreeze should be for the rated temperature. It turns to slush before rock ice; so not likely to do extreme damage unless you have a really bad mix or mostly water. However, you will get blockages in the radiator so the engine will overheat. Stop out of the wind and let the heat percolate in the engine compartment enough to get the blockages thawed. Worst case I experienced was driving several hours at -40 with no heat due to an air bubble in the heater core.
Plus, some people had electric car heaters in the cabin; improperly installed, every so often these would start a fire, and then insurance would not pay for damages.
Front-wheel drive, the rubber boots would crack (not sure if that’s better nowadays). My civic needed new boots every year or two. If the cracked open and dirt got into the CV joints, odds are you’ll need new CV joints too. Avoid parking with the wheels turned in cold weather, that stresses the rubber. coat the rubber with silicon gel to help with the flexibility.
And square tires. Old steel-belted radials, sitting in the cold overnight, the “bulge” froze and for the first few blocks, until the tires warmed up, thumpa-thumpa-thumpa-thumpa…