When Patton first arrived on the Czech border the Red Army still hadn't taken Breslau and was a long way from Prague. They might have screamed about it but they could not have stopped Patton from taking Prague. Occupying the Czech part of the country might have given the non-communists enough of a boost to avoid the Soviet orbit.
In accordance with henkster's law, however, I'm still not sure it would have led to a different ultimate outcome. Because of the betrayal at Munich, the Western powers were not real popular in post-War Czechoslovakia.
IIRC, at that time the Russians had taken Slovakia and deposed the puppet regime there. I also seem to have read that at least some of the Czech government in exile had gone there after liberation.
Americans were popular; we had cigarettes, chocolate and nylon stockings. The Czechs knew the Russians only had vodka, and they weren’t sharing.
I don’t see how the Soviets could legitimately had a beef with us taking Prague. There were no deals regarding Prague and it was liberating an oppressed fellow ally. And what were the Soviets going to do if we had? Reneg on all their deals?
Oh, wait...they did that anyway.