They got stomped by the old IRA, and their attempt to march on Dublin with 30,000 blue nazis was crushed:
" The Blueshirts, who had in the region of 30,000 members, resisted paying local rates and the land annuities (which Fianna Fail continued to collect) to the de Valera government. ODuffy also led violent resistance to the Fianna Fails government policy to seize unsold cattle and to distribute the meat to the poor. In one such confrontation in Cork, a young farmers son and Blueshirt, Michael Patrick Lynch was shot dead by Broys Harriers a republican auxiliary to the police. His funeral was a spectacular Blueshirt show of strength, complete with Roman salutes and military drill.
There was no second civil war. The Army and Garda despite their roots in the Free State forces of 1922, obeyed the new government. Talk of a military coup in 1933 by ODuffy and others in Cumann na nGaedheal and the National Army came to nothing. But there was extensive rioting around the country between the rival factions of the Blueshirts and the IRA and a number of deaths on both sides. "
http://www.theirishstory.com/2012/05/18/the-blueshirts-fascism-in-ireland/
There is no doubt that de Valera was an agent of US interests, who were aligned with anglophiles. But the rank and file anti-nazis stomped the blueshirts.