I personally feel that she should stay out of politics (in light of leaving her Governorship in the middle of her term) I am not too impressed with who is choosing to run but I do not recommend that she runs either. (religion.blogs.cnn.com)
There is no provision in the state party rules for removing a chairman in the middle of his term (or there wasn't the last time I checked). (nystateofpolitics.com)
Since Cox is only in the middle of his term as chairman, it would be difficult for the party to remove him. (nypost.com)