Therefore No crime of war perpetrated by the US military can ever be trialed by an independant court
Actually the US can always re-sign and ratify the Rome statute, after which it will be possible to be tried for war crimes. As I understand it, they have problems with suspicion that American citizens who are brought to trial at the Hague may not receive due process, including a jury trial.
The US signed the Rome Statute at first under Clinton (but didn't ratify it), then the Bush administration revoked the signature (which would mean they really don't have to even pretend to abide by it). Now the current administration is showing signs of being interested in the ICC again, but they haven't directly stated that they want to sign or ratify it. It seems like a thin line the current administration is walking - they want other countries to be held accountable at the Hague, but not themselves quite yet. Maybe once the government isn't at war, they'll be more likely to ratify it (since war crimes prior to ratification can't be prosecuted).
I disagree with the statement that the US has perpetrated more crimes of war and crimes against humanity than any other nation. Although the US is by no means a saint, Sudan, Rwanda, Egypt, Syria, Cambodia, Iraq, North Korea, China, and others have had their share of crimes against humanity in the past 70 years, including genocide in some cases, without trial in an international court. Iraq 1 and 2, Kosovo, Vietnam, etc. aren't by their nature war crimes. War crimes do happen in every war, and I personally think people who commit them should be held accountable by the Hague (including Americans). But to say that the US as a whole has committed more crimes against humanity than, say Rwanda where 800,000 people were killed in 1994, or the Kmer Rouge which killed 1.7 million Cambodians in the late 1970's, is nonsense.