The band sound Irish. Although you claim to live in Ireland you mention instruments not seen or heard in Irish trad music since the Topographia Hibernica (1188), when Gerald de Barri conceded that the Irish were more skilled at playing music than any other nation he had seen and said the two main instruments used at this time were the "harp" and "tabor". The Tabor, or tabret, ("Tabwrdd" = Welsh) refers to a portable snare drum played with one hand. The Irish, of course call it a bodhran.
Irish folk music is played on guitars, mandolins, banjos, fiddles just like Mumford and Sons. There is also uileann pipes, accordions bouzoukis, harmonicas etc. I realise you wish to have this band classified as English folk music but this music genre to most people is more sea shanties, hornpipes or Morris Dance music. Even, if you consider the mid-1980s rebirth of English folk music, fusing it with what was derived from punk rock, it was largely influnced by Irish bands like the Pogues etc.
It seems to me, you are trying to create a new music genre to suit your own politics rather than respecting and rejoicing in the many hundreds of years of music and sweat that it took to initially create these genres. Most people think the band are Irish because you can actually hear the Johnsons, the Dubliners and even some Plantxy in there. However, music styles like politics are in continual flux and even Bob Dylan conceded the biggest influences on him were Woody Guthrie and Irish trad music. Nobody said even then that he had created a new Minnesota Folk genre.