The Celts invaded Anatolia — they were known as the Galatians, as in Paul’s Letter to — and I’d take a wild stab at this anomaly by saying, that’s the connection, rather than, Celts colonized Ireland from Turkey.
Perhaps, but I did the genealogy DNA thing through National Geographic and my Irish ancestry traced the Mediterranean from somewhere Lebanon-ish around the sea, around the Iberian peninsula and across to Ireland, taking about 10,000 years. Goes along with the wave of neolithic farmers coming from the Middle East. Brian Sykes early book “The Seven Daughters of Eve” explains it in a more fictional, but still interesting way. The Irish sequence is J, and he refers to the carrier as Jasmine.