Erm, first of all, the Gallia - Kusari conflict happens in Taus. Not in Kusari, much much less in Chugoku. There's quite the possibility Dragon ships wouldn't meet the GRN in the course of the short war at all.
Secondly (and somewhat off-topic), main Dragon sugar daddies are the GMG. And probably some sympathisers in Kusari itself yeah, but the majority of the funding comes from the Gas Miners - it's a mutually benefitial relationship ensuring GMG's fuel monopoly.