Yes, a military buildup. No invasion, however. They lost without us firing a shot. (Unless you count Grenada, which was basically a weekend-long rescue operation)
Considering that conventional invasion would have precipitated nuclear war, Reagan was being as aggressive as possible without ending the world.
Your analogy just doesn't hold water. It certainly doesn't square with anything Churchill ever said or did, since Winston would have rolled on Moscow if he'd had the armor and other resources to do it.
That's why your screenname is such a sick joke.