"Who are they?" Cuomo said on Albany's The Capitol Pressroom radio show Friday, reports the New York Post.
"Right-to-life, pro-assault weapons, anti-gay — if that's who they are, they have no place in the state of New York because that's not who New Yorkers are," he continued.
Cuomo said his words don't extend to moderate Republicans, such as those in the state Senate, who he believes "have a place in their state."
Further, Cuomo complained that Republicans with "extreme" view create an identity crisis for their own party, and give people more to worry about than himself or other Democrats.
"Their problem isn't me and the Democrats; their problem is themselves," said Cuomo.