Once the harsher elements of its statist control over all political discourse were lightened, the whole system went bye-bye. In this analysis, then, the person who won the Cold War was actually Mikhail Gorbachev. He just happened to win it for the opposing team. Faced with ever increasing amounts of decadent capitalistic weaponry to counter, the Soviets couldn't afford to spend much on anything other than weaponry needed to keep up with the Joneses. You'll notice these two theories are pretty compatible.
Communism sucks .
Their system of state controlled production was inefficient and less responsive to the Keynesian-style massive deficit spending characteristic of the Reagan economy. My guess is not. Mr Bush was always a big proponent of buffing up the armed forces. I doubt it. The voodoo stuff was exactly what the Reagan team perceived as their mandate in 1981.