No...you misunderstand..some of my own relatives were Ulster Scotch-Irish. What I mean is that both need to have equal say in whatever Government is chosen, and as long as that Gov is IRISH.
Both sides should not have even say, since together they may not even represent a quater of the population. Both are nasty fringe groups, nothing more.
There is no principle that says the result has to be an Irish government. It should be freely chosen, whatever it is.