Gee, fellas. Thanks for all the advice on the Taurus! That's great. However, my query was really about why cold weather makes electrical connections less....conductive.
Actually they should in theory be more conductive. You likely have some bad connections which open up/loosen marginally in cold temps when parts contract.
I agree with the author of this post --
Electrical connections do contract when they're cold, especially the bimetal alloys that a lot of cheaper connectors are made of these days.
That may not completely break the circuit, but it will add resistance, as the connection isn't good.
I'd suspect a bad ground -- my old Taurus years ago had a bolt on the firewall where multiple wires arrived for grounding. That was behind the engine, and got somewhat corroded. Talk about causing some really weird problems, and made worse in cold weather.....