Kavanaugh's appointment is doomed to be political. He will have the swing vote on quite a few divisive rulings that will be brought before him, many concerning women and some concerning the rights they have over their own bodies. He's being installed to push the Republican agenda.
These historic allegations may not be enough to preclude him from this posotion on their own in the view of many people but they're part of a bigger picture when put together with some of his past rulings and comments.
Archaic in his views, he should not be allowed the casting vote in the highest court in the US, and certainly not in 2018.