Where do I chip in?
Socialist and Communist is already taken but how about:
The Redistribution Party?
The Everything is Free Party?
The Split the Democrat Vote Party?
I Care More Than You Do Party
I'm More Smugly Self Righteous Than You Are Party
I Hate Trump More Than You Do Party
The Party of Continuous, Pointless Outrage
The Hide Our Racist History Party
The Blame Republicans Party
I'm sure I missed a few.