Barring injuries and unforseen defections, they should be a serious contender in the Eastern Conference for, at least, the next half part of the decade.
They're young and have key guys locked up for the forseeable future. (I don't see much reason where Rose wouldn't continue with them).
Take a look at the big picture of the eastern conference and who knows what the landscape will look like down the road but with the core that Chicago has, they should be right in the mix for awhile.
Now, you want to take about world championships? One title is hard enough nevermind four but they're putting themselves in prime position to be contenders for the future.