Our claiming success is accurate. After all we have done we have mostly disengaged from security operations and are bringing troops home according to the schedule that Bush and the Iraqi government agreed to.
The real test, however, will continue to be the ability of Iraqis to govern themselves. In that vein, the upcoming elections in March will be the next signpost. If elections are pulled off with only a few assassinations....if they spend only 3-6 months forming a new government...if it doesn't regress into sectarian violence again, these will be signs of our success.
This claim by Obama taking credit for Bush is laughable and premature.