That's exactly what I had in mind. It's not as if the US didn't have other options. Bay of pigs was US supported but it wasn't the US doing the invasion, though without US support it would have never happened.
Cuba may be one of the few examples that might have a parallel in Mearsheimer's realism model: it would be a reasonable explanation of the foreign policy position the US has towards it even today.
That said, despite how shitty the US is towards it in terms of sanctions etc., there's certainly no boots on the ground invasion by the US.
So, Guantanamo Bay became a US military base by vote? Just because the Bay of Pigs disaster didn't involve regular US troops it was a CIA operation. Nobody in his right mind would call those "unmarked" troops in Eastern Ukraine anything else than a Russian invasion force.
Mexico has entirely different problems.
Neither of these countries got invaded or had their regime changed by the USA.
But I fail to see what this has to do with the Ukraine and the Russian invasion there, which is not theoretical.