For that to have happened, Russian technology would've been more advanced, meaning that we wouldn't have been able to lie our way through Star Wars, meaning that the cold war wouldn't have ended. Also given that Russia had an edge on us, we would have wound up being the bankrupt country, and eventually ending up with an economic state like Russias, weakening the entire world economy allowing hte S.U. to expand as much as they wanted.
Not really, the Space Race was really close and for the Soviets to have the first man on the moon was possible had they had a bit more luck. The Soviet's basically abandoned their moon landing effort when the best they could hope for was a historical footnote and instead they chose to go into the space station game instead.