No Muslim group has asked for or received an exemption from the health care law, but lots of groups have and they are all Christian groups (mostly Mennonite, Amish and Anabaptists).
"Nor are they likely to want to, says Ibrahim Hooper of the Council on American-Islamic Relations, which opposes discrimination and defamation against Muslims. "I’ve never even heard it brought up as an issue," Hooper told us. "I have health insurance. We give health insurance to our employees. Every Muslim group I know of does the same thing." Hooper told us that he has seen some Muslims raise religious objections to life insurance, but not health insurance, and that, in fact, providing health coverage is very much in line with Islamic ideals of social justice."
Link: http://www.factcheck.org/2010/05/dhimmitude-and-the-muslim-exemption/