Unfortunately for my current projects I'm getting paid for, fixing IE6 bugs is quite mandatory. But some of the loops I'd have to jump through to support IE6 are simply not worth it for everyone else. Only 7% of Elliquiy users use IE6 currently, and for the same quality of look and feel, it involves a significant bandwidth hit.
As for Chrome, it's probably Google's most serious project short of their search engine. There are some fairly advanced concepts that are only going to be possible with a model like Chrome currently uses, and Firefox 4 will use. I would bet money that Safari, Opera, and Konqueror will quickly follow suit. I wouldn't use Chrome for the sake of just using it, but it is a very political move by Google and their intentions and goals with it are surprisingly clear.
You could think of web services - Google docs is one example - as a giant Microsoft Office-sized hole about six feet deep. Chrome is like the prototype of a proper nail. No one has made the proper coffin yet, though its shape is pretty obvious at this point.
But as others have mentioned, there are currently much more stable browsers than Chrome currently is.