Question

The united states did not support the hungarians in their 1956 revolt because

Answer 1

It feared the possibility of a third war

Any action the United States  would take beyond offering moral support was dangerous. it was feared that such an intervention especially that involving military support  could possibly have lead to the Third World War. The USA  took a similar stance like the one it had taken in the Suez canal crisis which pitted the British and french against the soviet.