Will that oath be taken while the Muslim nominee holds his right hand on a Bible?
Obviously not with a Christian bible. In fact, it doesn't have to be an oath with any bible. In fact, if you read what the Constitution says, it doesn't have to be an oath at all; it can be an "Affirmation".
Our nation's Founders wisely created a Constitutional republic in which any individual, regardless of which religion he believed in (or if he believed in none at all), could hold "any Office or public Trust under the United States" as long as he supported the Constitution. Pat Robertson may not approve of that aspect of our Constitution, but unless it is amended that's the way it is.
Excluding all Muslims from judgeships would clearly constitute a "religious Test", and that is specifically prohibited by Article VI of the Constitution.