Dear Les
While I don't agree with the method you are using, as longs as the glue is a urethane adhesive, and cures properly you will get the wood at least initially, to stick. The problems accour when there is changes in indoor humidity. Get a Wet-Dry bulb hyrometer to check this. When and if the indoor relative humidity changs by 20-30% the wood will shift and break off the glue. Don't let this happen !!!! I can only recommend the Dri Tac 7500 urethane adhesive (www.basicadhesive.com) for this least favored method of solid wood instalation.
The wear layer on this very thin floor is only 1/8" and you should HIRE a pro for this rather tricky sanding job. But do the finishing yourself, that's the fun part anyway. You really should use a good oil modified polyurethane.
Fill the floor with colored latex filler before you sand. Choose whatever color you want, you can mix in a black paint tint to the filler if you wish. I would prefer one that is the same tone as the finished wood.
You need to have a moisture resistant finish, on this poorly fastened wood. You need to keep the moisture content of the wood stable and the oil finishes you have been told about have little abilty to do this. You may use a satin finish OMP, which will look like a waxed floor.
Wax in itself is not a finish, just a top dressing for a film finish like OMP or varnish. One doesn't wax over an oil finish in any case, as this type of finish cures softly, and the solvents of the wax will remove it. You could wax over a polymerized oil finish (which is called a oil/varnish) but it would have to cure for a month, before you do so. And most polymreized oil finishes are just weak forms of varnish anyway, so you will no avoid the toxic fumes, and metallic driers, by using these.
There is one exception to this and that is the Tried and True oil/ varnish, at www.triednandtruewoodfinish.com. But you may have to apply 6-7 coats of this finish to achieve a water reppellant and durable floor finish. These are really furniture finishes, and will only stand up to gentle use on floors.
All in all the mesquite is a nicely textured ring porous wood, very durable, with good moisture stability.
Now read my floor maintenance article in the Floored News section.
As always your Most humble servant, Joseph, the Wood Floor Doctor.