Seems all fine to me.
Be aware that the progressive dynamics converter likely uses a 20 amp receptacle - the kind where it looks like a regular 15 amp but the neutral prong is horizontal. Just google Nema 6-20R.
When splitting your shore power, how were you going to accomplish this? Do you still have the original AC distribution panel in the van? If so, you could simply wire the 20 amp receptacle into the main panel for the van, and if you want to have the inverter power things, you need to turn off the breaker for the converter, and then plug shore cable into inverter.
In my honest opinion it would be more practical and possibly safer to wire the van in a traditional fashion. ie 30a shore cord -> van AC dist panel -> 15a plugs, 15a fridge, 20A for converter etc.
Since your van is not a large RV it shouldn't prove too inconvenient to wire the inverter to the main 12v system / batteries, and just plug what you need 120 for into the inverter 120v socket only, and forget about making all the 120v receptacles work when on inverter. If you needed more you could simply use a power bar or current tap on the inverter outlet for more sockets.
While I don't see anything overly dangerous about your plan, my concern would lie with the splitter portion of the shore power. Circuits not using adequate wire size ie 14 gauge or 12 gauge for outlets need to be protected at less than 30 amps. Using the existing AC distribution panel solves that issue, since everything runs off the appropriately sized breaker.
Maybe I need some more info about how exactly you plan to split the shore power.
