The Twitterverse is alive with questions over wether the 2013 State of the Union will continue with the Dorner situation still unfolding.
In short, yes, it will go on. Will cable news networks break away from coverage of the situation to go to the State of the Union address? Most likely, but in one of those akward 'let's switch between two important things at once' news reports.
The bigger question is: will people still tune in to see the president address the nation in just over 20 minutes? On that point, again, most likely, but only because they won't have much of a choice. In any case, if you're watching on cable, they will probably at least have one of those scrolling news bars that keeps you on top of the situation.