You don't need a passport to travel to Dublin from mainland EU. You just need an EU ID card. The fact that it's not in Schengen just means that there are a bit

You don't need a passport to travel to Dublin from mainland EU. You just need an EU ID card. The fact that it's not in Schengen just means that there are a bit tighter "passport" checks and controls and usually it takes a bit longer after you land to reach the exit. That's my experience with it at least, as somebody who's lived here for almost 2 years and been traveling all over Europe.