The fact that basically FDR New Deal Dems like the squad and Bernie are considered "socialism supporting" actually shows how far both parties have lurched to the right.
The Dems aren't calling themselves socialists, the GOP are, so that shows us nothing. Except for the actual democratic socialists like Bernie who call themselves such.
The Democrats have essentially been a corporate centrist party for decades. The Green New Deal is not centrist, a bunch of Dems are now at least in Liberal Party territory, if not NDP/Green Party territory.
Stop being ashamed of who you are and what you support and embrace it. You should be happy the Dems are moving left ever-so-slowly.