Yes, see a war that the British people were totally against and its leadership divided as well.
Token contributions.
See total lack of Japanese (due to the Constitution that we wrote for them
)
Yes, but Japan likes the US more than Britain. US and Japan cooperate as far as the South Korea defense umbrella goes.
and Israeli combat troops.
The IDF is not allowed into Iraq and Afghanistan because they are Muslim states. During Gulf 1 Iraq attacked Israel to draw the state into the war, knowing many Arab countries on the coalition side would pull out if they were directly allied with Israel.
Regardless, Israel has contributed more the Iraq and Afghanistan war technology/training than any other country, including Great Britain.
US marines went to Israel to train with IDF troops in the west bank - setting up impromtu check points, learning desert-urban warfare tactics, CBQ strategies, etc...
In fact, the leaders at NATO recently met with Israeli generals in formulating anti-terror strategies for the new campaigns in Afghanistan - modeled off their latest wars against Lebanon and the Palestinians.
Then project that back to every conflict the USA has entered since the Spanish-American War. If we've had an ally, it's been Great Britain and/or other Commonwealth nations* (especially Australia and New Zealand.) And they are far from impotent, they have an excellent military.
Great Britain does what's good for Great Britain. Australia and New Zealand are very anti-American.
*The Philippines, South Korea, Thailand, and Ethiopia have been good military friends as well.
Yeah, common interests. Thailand and the Philippines have been victim to Islamic terror more than any other state aside from India, so they are glad to piggy back on America's "war on terror."
But Ethiopia, SK, and Thailand do what's best for their own sovereignty.