1. Keep the name.
Two reasons:
— It’s important to appeal to people who identify as progressive.
— Also, right-wing nutcases like to think that they have twisted the word “progressive” around so that it’s somehow derogatory (like “woke”). Brave conservatives who still have a little bit of an open mind might listen to your show once and realize that they actually agree with almost everything and maybe “progressive” doesn’t mean what they thought it did.