Yep, that's not a compliant connection at all! By code, you need an air gap before the DW drains into the sewer. A disposal does that as can a countertop air gap (and some places don't allow the disposer connection without a separate air gap). You'd want to check what Detroit requires before redoing things. I'd see if I could run it to he disposer, and add in an air-gap if required. Because the outlet is pumped, you can extend the hose. Each DW has a limit on how far that can be. Mine pumps about 8', around the 'U' to the sink on the opposite side.