This is to some extent an opinion question because there is no way to link any effect to a given cause with 100% certainty. I would argue, however, that there were two main results of the second Red Scare.
First, I would argue that this Red Scare led to a hardening of US policy towards communist countries. It was clear that any perceived weakness towards communism on the part of a US politician (especially a Democrat) would be punished. Therefore, politicians were not really willing to take a softer line. You can argue that this helped cause the US to get deeply embroiled in Vietnam.
Second, I would argue that the Red Scare helped bring about the counterculture of the 1960s. The Red Scare caused many people to embrace conformity so as not to seem different and, therefore, suspect. This is one of the things that caused the counterculture since the youth of the '60s wanted to be different from the previous, more conformist, generation.