No, Bernie is a National socialist but not a NAZI.
“National Socialism, more commonly known as Nazism or Naziism, is the ideology and practice associated with the 20th-century German Nazi Party and Nazi state”
He's not a follower of 90-year old German national socialism, which was sui generis, but it's completely fair to call him a national socialist.
Much better than a globalist or a transnationalist, however you slice it.