Obama governs as a hawk? That's the most ridiculous thing I've heard for quite some time. I think you should have a really hard time trying to find someone who thinks Osama bin Laden or Muammar Gaddafi actually deserved to live. Even Saddam Hussein doesn't come remotely close to the cruelty those two persons embodied. Most Libyans today pretty much consider Gaddafi as the equivalent to Satan. Few people since Hitler has perpetrated more evil than Gaddafi.
The majority of Americans believe we should not interfere in the internal affairs of other nations. Obama continued the wars in Iraq and Afghanistan, intervened in Libya, and nearly got the US into the Syrian Civil War. Yes he's a hawk, the only reason he got away with it in 2012 is because Romney took an even more hawkish position.