"So if someone is Irish and wants to be a married Catholic priest he has to move to the Western Ukraine and join the Greek Catholic Church?"
Better still, they should re-examine their rationale for wanting to be a Priest. We don't always get what we want in this world. For example, I wouldn't mind switching places with Bill Gates. I don't think I'm going to get to. You don't have any "right" to be a Priest, married, celibate, or otherwise. And the petulant whining from those who waaaaaannnnnt there to be a married Priests in the western (Roman) Catholic church is both tedious and tiresome.
A lot of this "debate" about priestly celibacy is nothing but a thinly veiled attack on Catholics and their traditions. I wish that others outside the Catholic churches would simply mind their own business.
As for the traditions of the respective churches. In the eastern Catholic churches, allowing married men to become Parish priests is generally the tradition. Celibate Parish Priests are the tradition in the western (Roman) Catholic church.
Here is what you are not getting - it was also the Western tradition.
What you can't claim is that it was the Western tradition from the start only from the Middle Ages onward.
So what Latin Church was more correct the one before married clergy? or after they were forbidden/restricted?