US / NATO intervenes in Hungarian Revolution

What if the US / NATO had intervened when the Soviets invaded Hungary to crush the revolution? Bear in mind US/ Anglo-French relations were at a bit of a low following Suez and there isn't a land border between Hungary and any NATO country.
In OTL US policy was somewhat confused with the administration apparently telling the Soviets that they had no interest in Eastern Europe while the US backed Voice of Europe radio station postively encouraged the Hungarians.
 
Top