The answer is NO!
Another member asked me if this BBQ would work. Since I had to go to Home Depot I said I would measure it and let him know. Most tamale pots are right at 13 3/4" at the bottom. The Smokey Joes are 14" at the rim of the base. 1" down from the rim there is a lip the protrudes into the interior. This lip is where the tamale pot sits unless you attach the pots lid to the bottom of the pot. Then the pot sits on the rim of the BBQ base.
The Master Built BBQ measures 13 5/8" at the rim. Therefore it is too small for the pot to fit into. These popped up everywhere for sale prices right around $15.00. After some research it appears that They have been discontinued by the manufacturer.