The first Red Scare is far more interesting. The first Red Scare involved progressives using the force of big government against their ideological opponents, the communists. While it is true that (probably) the two most high profile people to be deported were Emma Goldman and Alexander Berkman - both anarchists(not communists) - that does not change the fact that one of the main goals of the 1917-1919 purge was to get rid of reds.
Red-deporter in chief, Woodrow Wilson
While thousands of suspected reds were rounded up during the Palmer Raids, the grand total of communists/anarchists deported in the end was 556. For anyone interested, here is a report in front of the House Committee on Immigration and Naturalization from April 21st, 1920, titled "Communist and Anarchist Deportation Cases".
I've stressed the point on multiple times both directly and indirectly that progressivism and communism are competing big government ideologies, and this is probably one of the most high profile examples.
That does not mean progressives are good people. I still think progressives are more dangerous than communists and this does not change that opinion. It isn't until the 1960's (generally) that progressivism and communism started to mean the same thing.(the merging of the two ideologies)