Sorry bro, they do not have a program where you , as a muslim can join a proper muslim army.
Now if you were a jew,:
IDF programs for non-Israelis:
The Mahal program is for men younger than 24 and women younger than 21. Eligible are non-Israeli Jews, descendants of a Jewish grandparent of the aforementioned. The program consists of 14 - 18 months of IDF service (depending on command of Hebrew).
The Mahal Nahal Haredi program is for non-Israeli religious (haredi) Jewish men younger than 24. The program consists of 14 months of service in a separate IDF Nahal Haredi Infantry combat unit.
The Mahal Hesder program is for non-Israeli religious (dati) Jewish men younger than 24. The program consists of 6 1/2 months of studies in a Yeshivat Hesder (IDF Rabbinical College) followed by at least 14 months of IDF service, in total 20 1/2 months.
Long Mahal program for non-Israelis with a close link to Israel, service time as Israelis - depending on personal factors
IDF programs for overseas Israelis and their children:
Short and regular paths for Israeli citizens residing overseas, children of overseas Israelis etc. | Details - here and here
Thousands of young people from more than 40 countries have already joined the IDF through its exciting programs for overseas volunteers.
Free IDF Hebrew studies - here
Before contacting Mahal-IDF-Volunteers.org, please study Who Can Volunteer?, Your Service in the IDF, Volunteering Step-by-Step, Register Online, FAQ and the external links like the informations for Chayalim Bodedim (Lone Soldiers)
If the IDF enlistment date is after your 24th birthday (man) | 21st (woman)) | 36th (physician) - here
If you are not Jewish or Zakai Aliya (one of your parents or one of your grandparents is/was Jewish) - here
