Apparently, he has made some progress with Medvedev on this issue. Still, nukes are primarily bargaining tools. After all, why has Russia held onto theirs, being so expensive? I think there will be a lot of talking but not a lot of doing.
Needless to say, a world without nukes would be desirable but not entirely realistic. Imagine Iran with some and America without, it would be odd. How many nukes does the world really need? Imagine if we spent more on caring and less on killing