Yes, there is a point at which screening of judges crosses the line. I do not believe Bush is stupid enough to name those kinds of judges. If he is, then they will not be nominated. If they are nominated, they will set aside their prejudice on taking the bench. If they do not set aside their prejudice, then their illegal actions will be reversed on appeal, and they can be disciplined.
Electing judges can be distasteful.
It is undignified. It requires campaign contributions and begging for votes. But obviously, given the current Bush plan, that is a ridiculous claim. There is plenty of politics in appointing judges. There is politics in the nominating committees.