Stating that the US military has... "enabled that continent to break its historical cycle of bloodshed and live in relative peace the last half-century" is a huge oversimplification.
Undoubtedly the US military is one, if not a major force in the post WWII security, but many other factors have contributed to this, such as Khrouchtchev's policies of co-existence; the emergence of China as a nuclear power that forced Russia to side with the US and the European Union that bound France and Germany economically, making future pan-European wars much less likely.
Lets not also forget the European conflicts since 1945 despite all of the above - Soviet invasion of Czechoslovakia; Turkey invading Cyprus; Bosnian war; the Chechen crisis; Kosovo; Russia-Georgia and the Crimea.
Undoubtedly the US military is one, if not a major force in the post WWII security, but many other factors have contributed to this, such as Khrouchtchev's policies of co-existence; the emergence of China as a nuclear power that forced Russia to side with the US and the European Union that bound France and Germany economically, making future pan-European wars much less likely.
Lets not also forget the European conflicts since 1945 despite all of the above - Soviet invasion of Czechoslovakia; Turkey invading Cyprus; Bosnian war; the Chechen crisis; Kosovo; Russia-Georgia and the Crimea.