This article is a bit old, but would make for an interesting discussion. It would appear that we are closer to the Turkish people than to Central Europeans.
http://www.turkishnews.com/en/content/2010/02/02/turkish-farmers-%E2%80%98fathered-the-irish%E2%80%99/
The majority of Irish men are descended from farmers who came to the country 6,000 years ago, not from an older line of hunter-gatherers as previously believed, a study has found.
Researchers at Britain’s University of Leicester have discovered that 85% of Irish males are descendants of farmers who migrated to the country from Turkey and surrounding Mediterranean areas, bringing agriculture with them.