BRUSSELS (Reuters) - Relations between the United States and Europe have sunk to their lowest ebb since President George W. Bush took office, with sharp differences over a new U.N. war crimes court, the Middle East and trade. In European eyes, transatlantic tensions have worsened because "unilateralist" hawks have gained ascendancy in the U.S. administration, seeking to tear up the international rule-book and sidelining moderates more in tune with European views. In many American eyes, the Europeans appear wimpish in the "war against terrorism", seek to tie Washington's hands and are complacent about threats from so-called "rogue states" suspected of...