I only think of them as people who like to drink and have a good time while drinking and thats based on what I experience with my Irish friends.
As for the Irish dancing I wish my Irish friends could do that I think that is amazing and takes so much talent. Same with the cottage thing I just wish I knew anyone who lived in a cottage think that would be pretty badass.
I know after a few shots of malt liquor, everyone begins to look a little more like a cottage-dwelling Irish dancer with an unnatural affinity for the drink to me. I think if the Irish re-named their food and edged the Greeks out of the diner business, in 30 years they'd be seen as something like what the Italians are seen as now. No one wants to order blaa and boiled cabbage. No one. Not even the Irish themselves.
Actually, I had an American visiting there and now he knows how to play hurling, but he was rather bemused to learn that our local park has Ireland's only public baseball diamond. Patrick Kielty mentioned this on Top Gear a long time ago. Apparently all Stereotyped Irish people have a Cork accent (sorry Jen!)