There is a major chicken-and-egg/game-theoretical problem though: any browser that does that today will piss off/irritate its users, forcing them to use other browsers or older versions of the same browser, as DNSSEC is not widely deployed on the corporate side. And until most/all browsers do something major to make the current DNS security crisis obvious to large numbers of users, most companies won't care enough to deploy DNSSEC.
At least it will be interesting to see whether, and how, this eventually gets solved.
[1] Certain abysmal DNSSEC cryptographic choices, such as 512-1024-bit RSA, should also be addressed.