Why can't we just wipe ISIL off the map

I disagree. Sure, we can go roll over all the deserts of the world with tanks and Strykers and every piece of equipment we have - at the end of the day, we'd have killed thousands of "bad guys" and the threat would be diminished... in that one area we were currently at. They will spring back up behind us as soon as we call the area "clear." Unless we intend to have permanent patrolling outposts in every Arab region of the world, brute force is not going to eliminate the threat of ISIS. Hell, even doing that wouldn't eliminate it - they would simply move to another place.

We're so inclined to use boots on the ground because it seems to be all we know. Defeating ISIS will not come from brute force, but from combined actions across the planet to reduce ISIS recruiting efforts through economic and political means.

Nobody has the nuts, except the Kurds.

I think that one of the problems that you encounter when trying to come up with solid courses of action on how to effectively engage and destroy ISIS is positive identification of ISIS. While there are currently ISIS "ground pounders" that serve as fine targets for traditional, kinetic warfare, and that is where our air campaign and "limited boots on the ground" personnel are engaged. These targets however do not make up ISIS in its entirety. Once these targets are destroyed, ISIS is still going to be there. ISIS is a decentralized organization that is based on many ideological principles that cannot be "quantifiably destroyed" using kinetic warfare. Can we make a dent? Yes. Can we make a statement? Yes. However, to achieve total victory, I believe it will take more than just "boots on the ground." ISIS has groups, cells, and individual personnel loyal to its core scattered all over the globe. These numbers grow by the day. They are not linked directly back to "ISIS HQs" wherever that is. They have been self-radicalized or radicalized over time through numerous means including the internet. ISIS is a worldwide threat that requires a worldwide response to effectively eradicate it, its followers, and its message. How do we do that? I don't know, that is above my paygrade, however "boots on the ground" is just a small part (in my humble opinion).