The Hollywood movie star and eighth-generation Kentuckian is seriously exploring a 2014 run for the Senate to take on the powerful Republican leader, four people familiar with the matter tell POLITICO. In recent weeks, Judd has spoken with Sen. Kirsten Gillibrand (D-N.Y.) about the possibility of a run, has discussed a potential bid with a Democratic pollster and has begun to conduct opposition research on herself to see where she’s most vulnerable in the Bluegrass State, sources say. …

“She is doing all the things that a serious candidate exploring a race should do,” Rep. John Yarmuth (D-Ky.) told POLITICO after speaking with her. “I think there are a lot of people, and I was one of them, who wanted to let her know that her candidacy would be an exciting prospect for us. That’s what I wanted her to know. A lot of the labor unions, they were telling me that too.” …

That’s why some Democrats are calling on Judd to run — she could raise a ton of cash, energize the base and would have significant name recognition in the state. Yet other Democrats are nervous about her prospective candidacy: She’d be pegged as a liberal, out of touch with conservative Kentucky; she has no experience running for office; and she now lives outside her home state.