Command & Conquer - Red Alert takes place in a parallel universe in an indefinite timespan that could be considered cold war. If you want to try it, you should play it using the OpenRA engine: https://www.openra.net/

The Command & Conquer: Red Alert series? It's an alt-history but pits the West against the Soviets.

Would be fun as a mod. We once started a mod with Spring 1944's assets but it didn't take on. It's there https://github.com/0ADMods/pyrogenesis-1944

The Cold War is a time period lacking in almost all real-time strategy games - hell, I can't think of any in actual fact, in any genre. The closest you ever get is Soviet based WW2 games. Company of Heroes is great, albeit not quite what you're looking for.

There is one I remember, world in conflict, that was fun.

Another that I've heard of but not played is the wargame series, which I think is set a bit further back in the cold war than world in conflict. Both alt-history obviously.

Take a look at Wargame: Red Dragon. Might scratch the itch. In fact, the whole Wargame series by Eugen systems is set in the Cold War I believe.

"Harpoon" was amazing, but is quite dated at this point, and I've not been able to get it to run on a modern PC in many years.

Isn't that a DOS game? It should easily run on DosBox, or Boxer on macOS