Actually, I doubt if Obama would get another one because he screwed the committee over so hard when he pretty much did nothing that he promised regarding their views on "world peas," such as releasing all of the detained terrorists, closing Gitmo, pulling out of Iraq and Afghanistan immediately, and basically surrendering the US to a benevolent, kind, tolerant, and loving combination of UN authority and Sharia law.
I have absolutely NO doubt that if things actually happen as Kim said, he'll win his little Nork ass a peace prize. It's impossible for a Republican president to win a peace prize from those *expletive deleted*ing socialist statists.
Nixon didn't get one for normalizing relations with China/ending the Vietnam War, Reagan didn't get one for helping ensure that the US and Soviets didn't play a game of lob the A bomb (but Gorbachev got one for dissolving the Soviet Union), etc.
Unless you're the socialist equivalent of the whore of Babylon, NO PEACE PRIZE FOR YOU!