Not to be a party pooper, but can a republic be made of independent states? Technically they'd be a confederacy of independent states, or "CISables" with a hard "C".

Something-beginning-with-H of Unified Geoscape Governments would give you "HUGGables". Or the "huggies" for a demonym (do they have a brand of nappies called "huggies" over in the north americas?)