It does not necessarily pass through GEO. GEO is also defined as over the equator specifically, and it is rather unlikely that the asteroid will happen to be above that point when it crosses the proper altitude.
England would not have fallen, but other than that, your assessment was more or less accurate. Operation Sea Lion was cancelled nearly a year before Hitler attempted to invade Russia, and Hitler's plans to invade England were long since scrapped by the time Barbarossa began.
The US has been supporting (grudgingly accepting?) Gadhafi for a few years now, ever since he turned in his nuclear program in 2004 (several days after we pulled Sadaam out of a ditch. Probably not a coincidence, but I digress). Until the past month, really. We even shot down down a few of his MIGs in the 1980's on two separate occasions.