I don't care how America is perceived. As long as she has the most powerful economy and by far the most powerful military - no one will dare mess with her.
But, I would be more concerned about the fact that America is probably much weaker overall then she was when Obama took over. Far more debt and a government/military industrial complex that just won't stop growing...far beyond America's ability to support on a balanced budget. And the Fed's/Obama's refusal to let the economy reset, forces it to continue down the road of mediocrity.
However, America was far weaker when G.W. Bush left office as well - but for somewhat (though not altogether) different reasons.
If America does not just let the economy run itself, end this paranoia about terrorism (though it seems to be slowly dissipating) and live within her means - this slide will continue, imo.