http://en.wikipedia.org/wiki/Operation_Unthinkable

“The hypothetical date for the start of the Allied invasion of Soviet-held Europe was scheduled for 1 July 1945.^[1] The plan assumed a surprise attack by up to 47 British and American divisions in the area of Dresden, in the middle of Soviet lines.^[1] This represented almost a half of roughly 100 divisions (ca. 2.5 million men) available to the British, American and Canadian headquarters at that time.^[3]“

A British plan to invade the Soviet Union at the end of WWII.  Stalin wasn’t all that paranoid.