This is something we should try out.
It was an implied part of Duke's original conception of the House of Representatives and it would be an interesting experiment for the new House.
Eventually I forsee these determining its leaders who will run for House officials like Speaker, immediately following elections but before they take office (obviously not time for that this time around) and forming policy agendas and so forth.
For now, I welcome all Federalist House members to join and I encourage Labor to create one as well.