I was hoping for an "Uz-beki-beki-beki-stan-stan" here.
I'm far from an expert on this type of thing, but I was taught a long time ago that the roots of Judaism and Islam could be traced back to Isaac and Ishmael, respectively. No?
I would say that Muslims are piggybacking on Judaism, but that wouldn't be kosher for either group.
Rather, Islam is based on Christianity and Judaism, so it has that pedigree. But, it was also invented in some real sense by Mohammed and his progeny, so both of these nutcases are right in a sense.
