Yeah I saw that live BW TV broadcast CBS tv news in 1956(?) October? when they threw Molotov cocktails on the tanks and Cardinal Mendzenty was freed (?)The russians actually retreated but came back later across the border. the Hungarians pleaded for Ike to send aid but Ike chickened out.
We had been stretched to the limit with the Berlin Airlift. Ike ran in 1952 promising to end the Korean War to a war weary America. He had to settle for an armistice and the status quo ante.
There was no way to resupply the Hungarians without violating somebody's sovereignty. There's a time and place to fight. Hungary was not it, IMHO.