JMF is a self-proclaimed Islam-complaint MFI:
To comply with Sharia and Halacha laws, JIMF does not charge interest on its loans and earns no income from them. Almost all JIMF’s staff works for the organization on volunteer basis. Currently the JIMF is 100% financed from charitable donations.
Note that they’re currently a pilot MFI (as of January 2013), so they don’t appear under the “Islamic Finance” filter on Kiva.