The size and capabilities of the Coalition forces involved in operations in Iraq has been a subject of much debate, confusion, and at times exageration. As of July 1, 2005, there were 26 non-U.S. military forces participating in the coalition and contributing to the ongoing stability operations throughout Iraq. These countries were: Albania, Armenia, Australia, Azerbaijan, Bosnia and Herzegovina, Bulgaria, Czech Republic, Denmark, El Salvador, Estonia, Georgia, Italy, Japan, Kazakhstan, South Korea, Latvia, Lithuania, Macedonia, Mongolia, Netherlands, Norway, Poland, Romania, Slovakia, United Kingdom, and Ukraine.
Much more info at:
http://www.globalsecurity.org/military/ops/iraq_orbat_coalition.htm
However, I do understand your point and I hope you understand mine. We are not alone, in theory, but in practice, we pretty much are. Just like at the U.N. where the U.S. pays about 90% of the budget for the approximately 144 "member" nations, who do nothing but mostly sponge off of us.