WOW I love this idea actually. As much as I would love to remove a skimmer this is a definite viable option. So you just drop the pump into the first compartment of the sump?
Yes, pump feeds in to the hang on feeder box from the sump. After it fills, it will spill out the other end of the feeder box and back into the sump.
You have room. If you clear out the bottles of additives on the right side of the sump, I think it will ft nicely.