Actually, the Hillary people are pretty scared of a Bloomberg run. Independents who dislike Hillary immensely will probably find Bloomberg very appealing. He stands for every social issue she supports, and he comes without the polarizing baggage people fault her for.
He will probably be supported by a few right-leaning independents, but he won't appeal to those socially conservative independents who make up middle America. He will appeal to those who are in the dead center, in states such as Pennsylvania, New Jersey, Connecticut, and New Hampshire.