I don't know that you can characterize "the Muslims" as being on the losing sides of both World Wars, nor that you can say that being so is responsible for their current problems. You need to take a few history lessons.

Looking just WW II:

The leaders of what would today be Iraq did try to join the Axis, though there was a lot of internal resistance. Some of the other countries tried with limited success to work with the Japanese. They did so because they wanted freedom from the imperial powers that the Axis was fighting, namely the British, Dutch, and French. India did the same thing--they wanted independence from Britian.

Most of the Southeast Asian states were not allied with the Germans or the Axis. They were invaded and taken over by Japan, who set up puppet governments who natually decided to render (relatively ineffective) aide to the Axis cause. This wasn't "the Muslims" doing so.

For what it's worth, Iran fought with the Allies, and all of the British and French colonies (this was much of the Middle East and north Africa) were officially on the Allies' side, even if members of their societies gave aide to the Axis to try to win help in obtaining independence.

If you want to concentrate on the Middle East, I doubt you could make a serious case that war reparations & other consequences of being on the losing side are responsible for the social and economic conditions in the Middle East today that have allowed terrorism to flourish.