I certainly agree with you that Reagan did not appease the Soviets. I don’t know that Obama’s being a liberal-socialist would mean that he wants to capitulate to the Islamofascists. The Russian communists fought the Islamofascists for years.
Then you don't understand politics in the US today. Who opposes the WOT and the invasion of Iraq? The Democratic Party. Who constitutes the Democratic Party? The anti-war liberal-socialists. The USSR was a totalitarian government and opposed the Islamofascists as a matter of their desire for world conquest.