The correct answer to this open question is the following.
If we make a comparison between the federal government's role in the fight against communism with its role in the fight against racial discrimination, we find considerable differences.
During the Red Scare of the 1920s, the federal government of the United States was very concerned about the presence of anarchists and communists in the United States territory. That is why US President Woodrow Wilson ordered the Department of Justice to initiate the Palmer Raids to arrest communists and anarchists.
During the Second Red Scare in the times of Wisconsin Republican Senator Joseph McCartney, he accused the presence of communists in the interior of the US federal government and the military. The problem was that he accused but never presented valid evidence.
One way or the other the federal government was worried, concerned, and act in many different ways.
Regarding the fight against racial discrimination, the federal government has acted very differently. It seems that the government is not as interested as in the above-mentioned cases. It seems that it has not the same political interest as in the case of anarchism or communism. Truly, racism is not the first thing on the political agenda of the US.
How involved were citizens in these fights?
Citizens basically reacted with fear during the Red Sacre times. The government and mass media told them to be fearful of communist, and they were afraid. And they started to accuse people with no evidence at all.
Regarding the fight against racism, here it seems that some US citizens are more concerned about this issue and have actively participated in public demonstrations.