Earlier quoted context omitted.
That's not how the EU works. To give just one major example, our constitution regularly overrules EU law - Ireland has to go to referendum for Treaties - e.g. The Lisbon Treaty.
EU law has precedence, period.
Specifically for Ireland, we are the only EU member state that are obliged to hold public referendums on Treaties. Ratification of the Treaty in all other member states is decided upon by the states' national parliaments.
Ireland, Netherlands, and Luxembourg also have veto powers when it comes to EU wide regulations. That's why Article 116 exists. You don't know what you're talking about.