since you are talking about superficial parallel. Christianity and Islam both use prayer beads, while in Judaism, this is seen as paganism.

There you have it. Islam and Christianity are much more closely nit. <snark over>

This is such an incredibly complex subject and to reduce it to these simple Check boxes, does not reflect well on the historically grown and theologically developed differences.

Apart from that I would disagree with the starting statement as well. Judeo Christian tradition is by some, used as the opposition to Islam, but only by those that gain politically from it.

People that are serious about the subject don't use this simplification.