WASHINGTON (Reuters) - Sen. Joseph Lieberman, seeking to slip out of a perceived White House embrace, insisted on Sunday he was a loyal Democrat and criticized the Bush administration's post-invasion Iraq war policy. The 2000 vice-presidential candidate lost the Democratic primary vote in Connecticut to an anti-war rival this month, but is now running for re-election as an independent candidate in a contest that has exposed deep U.S. divisions over the unpopular war. Some Republican officials have shifted their support to Lieberman, and the White House took the rare step of declining to back the Republican nominee, leading critics to...