If we take the example of Roy Moore, I don't think these Kavanaugh allegations will change anything. If anything, he'll probably be more popular with conservatives. A good number of these weirdos get off through men who abuse women, as that is what their definition of a real man is.
I have no idea if he's guilty or not, but producing a list signed by 60 odd woman stating he never raped them is pretty suspect behaviour IMO.