your top view is not consistent with the side view. but, based on your side view, i don't see why it wouldn't work.
however, i would suggest you set it up with one or two larger filters such as canisters. have the intake in one of the end tubs, and have the output in the opposite end tub. that way, you get a natural flow of water through the pipes and avoid stagnant waters.
is this going on the floor? gotta big strong table? what're you doing for lids/hoods? if you're gonna be drilling holes into the tubs then you might as well drill extra holes near the bottom of each and put in a tap to make changing out the water easier.