It doesn't look to me like you are accounting for your travel times from place to place. Two nights in Dublin gives you your arrival afternoon and one day there, if you are counting Day 1 as the day you land, not the day you leave the US. Then the next morning you are driving to Cork. If you get an early start, you might be there by noon (viamichelin.com shows it at just about four hours) if you don't stop for gas or lunch or to take photos, and you don't get lost. That leaves you the rest of the day in Cork. The next morning you are driving to Killarney. That's only a couple of hours (again, with no stops), so you have that afternoon and the next day there.
Killarney to Doolin is another almost four hour drive. Doolin to Galway is about two hours. While driving time isn't totally lost time, because there is a lot to see along the way, you aren't really leaving yourselves time to discover anything along the way. Driving can be excruciatingly slow in some areas, particularly in the rural parts of the west, so don't expect to get the same driving times as you would for similar distances in the US. You also have to allow time to pack and load the car, find your new place and unpack, feed yourselves, etc, all of which eat up time. And what do you want to do or see in these places you have come so far to visit? Touring a castle takes time, seeing the Cliffs of Moher, or walking around Galway, or visiting a museum takes time, but you will mostly be driving.
I have been to Ireland four times and still haven't seen everything I would like to have seen. It will be there when I get back. If it were me, I would make a list of what I considered truly essential to see this first time. Look at those locations on a map, and see how long it takes to get there. If you can fit in some of the others, great. But I think you would be happier cutting back your locations and staying longer in fewer places.
