Alec that sounds fine, the problem will exist when a political decision is expected for a defence matter. If you exclude yourselves from the Rheinland Government that automatically means you can roleplay only RM characters, ie. military personnel.
However you still want to keep a hold on RheinGov by controlling the minister of defence but without being in the Rheingov itself, an oorp body composed of 6 official factions excluding RM.