Christopher, if you're a patient guy, here's an alternative. If the Mesquite's are small, get a hand axe, chop and spray lightly with diesel. If they are 6" size or larger, get a chain saw, cut them ground level. Take a drill and sink a few holes in the base about 3-5" deep...fill with gas, diesel, or lighter fluid. Let sit for 30 minutes, and repeat. Then, get a cold beer (or two) a chair, and a lighter...set afire. The bigger the stump, the longer you'll be there, but roots will burn several feet into the ground. It helps to add small sticks to the top of the stump base, adds to the coal base.