if you don't believe that EU should have any sway in Ireland monetary policy, than staying in the EU is not what you want.
and the whole point of the EU as a monetary entity is so that, regardless of whose soil it's on, it's all EU.
Ireland cannot have it both ways. Either stay in the EU and honour the EU policy, or leave the EU and go it on your own. You can't pick and choose what EU things to take and what to ignore.
it's like when Quebec wanted to seperate from Canada, but Canada ignore all their debt, use Canadian Currency, and automatically get included in All Canadian trade deals. You don't get to have your cake and eat it too. either do it yourself, or accept the terms of the agreement for joining.