Wikipediawide convention for political parties is to always translate names into English, unless they are commonly known to English-speakers only by a non-English name.  Bilingual party names are common enough... for example in Canada one can find an organization officially known as  the Liberal Party of Canada/Parti libéral du Canada but its listed on the English Wikipedia as simply the Liberal Party of Canada.  Likewise, the organization officially called the Labour Party/Páirti an Lucht Oibre, gets filed as just Labour Party.  So while Fianna Fáil and Fine Gael do indeed get listed by their Irish names, that makes them an exception rather than the rule.  Amongst English speakers in Ireland the party this article refers to is always calledin common usage, anyway the Green Party, never Green Party/Comhaontas Glas, despite what the party constitution might say. -