Headway 2 x Header blocks

Hi Guys and Gals.

Im using the latest WP 3.8.1 and also the latest Headway themes. I am trying to make a site that is mobile and laptop friends. I have had an idea and was wondering what you guys think of this as a work around?

Using responsiveness mode I create 2 headers, and using the option to hide from certain devices, make one only visible to phones/tablets, and the other to only computers? Do we think that will work??