Right now both FA and Exiles are lacking in activity, almost completely. They both share ideology to some point, both supported by Samura and some of their goals are shared.
Reformation of FA into something more radical, like "Military extremists wishing to seize the power for themselves, bringing back the shogunate." looks good.
Old member of Exiles remember Kurile blockade and have some grudge towards GMG, really don't like new gov. FA condemned as terrorists and won't return to semi-lawful back with the Republic in charge.
Exiles don't have shipyard to maintain their ships, while FA got one that can up to dessie (somewhat) size.
It will also give inrp manpower towards FA and there won't be a need for stupid Legate, they will have 1-2 stationary KNF BS.
Also it will solve this stalemate with civil war that is not happening. Republic KNF will win, since INRP it got manpower, support of population (even if not whole, but majority) + inrp Gallia wouldn't allow exiles to win.