As to what can be done, I'm no military or diplomatic strategist. From past history, it seems that whenever non-Muslim troops are involved in actions, that the global Muslim community gets into this whole 'we are being targeted' thing. Blow up a mosque, shoot up a cemetery, take out a school, they all become major issues. But if Muslims do it, nary a mention. Hell, they can blow up anything - museums, World Heritage sites, Buddhist carvings on a mountain, churches, synagogues, you name it.
So I understand it when countries have a reluctance to want to have their troops being the primary force doing combat. In the global opinion, it's just a no-win situation. What Muslim countries are really going to want to send their troops to clear out ISIS strongholds as well as being on the same page? Saudis and Iranians, nope. Sometimes I think that the US, Russia, and China should collectively and without warning drop three or six tactical neutron bombs on Raqqua. Neglible long lasting radiation, minimal infrastructure damage, and neutrons have a way of wreaking fatalities. Collateral damage to civilians, sure. That's war.