With the backs of the towers dried I put 2 coats of polyurethane on throughout the night. This let me tack it in place this morning. Now you should let poly dry for ~24 hours before normal wear and tear, but seeing that its the backs I I won't be touching it for another 24 hours, I thought it would be okay.
To apply the backs we check the squareness again of the towers. With the back in place we tack one corner, adjust the squareness of the tower and tack the other corners of the back in place. By now, not only should the tower be square, but it should be pretty damn sturdy too boot.
I place the towers on the toe kick and plumb it up with a level. Once I have it in place I use drywall screws to hold the towers in place. With a screw going through the back into the stud, and a screw going through the side and into a stud, it should not move.
With it in place, I measure the shelf length and depth that spans across the towers and cut the bored from left over stock (you could get away by buying a 2' x 4' 3/4" MDF oak veneer). With the shelf, I put the right support on the right tower for the shelf that spans the two towers. I check its level and tack it down with 6 nails (I switch out the 1 1/4" nails for 1" nails seeing that the support is 1/2" and the tower is 3/4" and that is too close for comfort.). With that in place I put the shelf on the right support and set a level on top of the shelf. Now I can adjust the shelf to make it level. With it in place I mark on the left side to see where the support goes. I then tack that as well. The shelf is level. I do the same with the 2nd shelf.
If you noticed, the shelves in the above picture are not stained. So back to the gloves, stain and brushes.
I've learned when you build two towers that have a shelf connecting the two and put them independently in a basement poured in the 50s, on a rec room constructed in the 60s, nothing will be level without double checking it. I get to quadruple check it because I need to take the towers down to run the lighting cable behind the shelf.
With all the wires ran now to the center, I attach them and zip tie it together and plug it into the outlet that the wine cooler will use.