That is why Ireland was the original I in PIGS.
That was why Ireland was technically in a recession in 2011.
That is why Irish debt / GDP is over 100%.
The is why multinational companies are leaving Ireland.
And finally ... let's look at your solution then, Mr. President ... An Overview of the Irish Health System
Free it may be, but you're also free to wait. Waiting lists for those without private insurance can stretch into years - even for critical operations like heart operations. There are tens of thousands of people waiting for their "free" medical services.
So yea, Ireland has this "safety net" of health care, only it's really just an illusion and everyone dies waiting for the care they need; unless they are rich bastards who can afford their own "private" insurance. So it's really no different at all. That bastard who works four jobs still is screwed healthcare wise in the end and the rich man is happy.