Reagan came around the time the Deep state had lost all patience with the Soviet Union. Command and control iron fisted communism did not work and everyone knew it and it was an embarrassment. The old idea of having the Soviets take over the U.S. just wasn't within the realm of possibility by the late 70s. And most people in the government had caught on to the espionage, so it was getting harder and harder to export all of our tech to the Russians, especially when their system was so incredibly incompetent. Even if they were given the entire plans for the SR-71 blackbird, it wouldn't matter because they simply weren't capable of producing half of the components without people stealing parts or getting drunk on the job. The exact plans for the space shuttle were even hand delivered to them, and they were still a decade behind the U.S.

The fall of the Soviet Union was handled by Bush Sr. Reagan had nothing to do with the handling of the new Russian Federation government. They thought Putin was their loyal subject, but he seemed to have flipped long ago which was why they really really hate him.