In regards of the behavior of the Intel® WiDi when you deploy it, this can be fix by enabling Clone display feature in the properties of the graphics controller, detail explanation of how to achieve this is available at:
www.intel.com/support/graphics/sb/CS-031026.htm
How to enable Extended Desktop mode
You might try extended desktop as well it allows you to use the screen of the laptop to display something different that what is been displayed through the Intel® WiDi.
With the compatibility question, we don’t have compatibility charts or lists about third party computer manufacturers and Intel wireless cards; we strongly recommend you to verify with Asus* about this.
