Out of curiousity, I calculated the per-capita losses in Iraq for each state. That is, the number of soldiers killed as a function of the total population of the state.
For the majority of the states the casualty rate is pretty even, varying by a factor of about 2. There are some particularly fortunate states, and a few whose soldiers have not been so lucky.
Overall average: 2.92 killed in action / 1,000,000 population
Largest Burden: Vermont 14.8 / million
Smallest Burden: Hawaii 0.8 / million
FULL LIST (PDF FILE)
More details in extended copy
Ten highest casualty rate states
Vermont 14.78
North Dakota 9.34
Wyoming 8.10
South Dakota 7.95
Delaware 7.66
Nebraska 6.43
Oregon 4.97
Rhode Island 4.77
Maine 4.71
Mississippi 4.57
Ten lowest
Ohio 2.20
Louisiana 2.01
New York 1.84
Minnesota 1.83
Utah 1.79
Maryland 1.70
New Mexico 1.65
Alaska 1.60
Nevada 1.00
Hawaii 0.83
Blue States: 2.79 KIA / 1,000,000
Red States: 3.06 KIA / million
There is some room for error in the iCasualties numbers. They report 17 KIA for Oregon, for example, but the local media all report 25 Oregon deaths. Could be because the DoD reports hometown in a strict sense, but local media might be counting people who moved recently but had lived in OR for years, or recent non-resident grads from OR colleges, etc. Those sorts of issues are enough to significantly change rankings of small states (e.g., Oregon would move from #7 to #4).