Should they update their apps? Probably, but it costs money to build systems like that and most corporations don't want to drop money on something that already works perfectly fine.
Adopting webkit would completely disrupt all of these services, and Microsoft would basically destroy its customer base/relations.
Alternatively, Chrome is about pushing the boundaries of what's possible on the web. It's great for new companies, startups, and small developers, but as they move fast and implement new standards / functionality they also break stuff, and unlike Microsoft it doesn't really matter to the webkit dev team if a certain medium size corporation's old payroll app no longer works because of the latest chrome update.
Different browsers serve different purposes, and IE's is to provide stability. Hence they don't adopt webkit.
(I was an intern with IE this past summer and I asked the very same question minus the last part to my manager, and this was his response)
There is no requirement that it be exactly like Chrome. Look at Safari on OS X, that Webkit engine is not the same one that goes into Chrome. By the time that Safari is released Chrome is already several Webkit versions ahead.
http://lists.w3.org/Archives/Public/www-style/2012Feb/0313.h...
"Discussed problem of WebKit monopoly on mobile and the consequent pressure for other engines to implement -webkit- properties."
For IE on WP7, Microsoft originally planned to support -webkit-text-size-adjust: http://blogs.msdn.com/b/iemobile/archive/2010/05/10/javascri... , but later decided not to.