She has too much name recognition and not enough unfavorables for this approach to work. She shouldn't run and if she wins she'll be a lucky to be as coherent as McConnell by the end, but I don't think a primary challenge will work against her. Hope I'm wrong.
I don't think a lot of that name recognition is positive.... As we've seen in the last few election cycles being a well known establishment candidate isn't necessaroly a positive for a large block of voters.