I have an iPhone 5, and iPad and a retina MacBook Pro. What I would like to do is to display my iPhone/iPad screen and on the Mac and, at the same time, use my Mac keyboard as the keyboard of the iPhone/iPad. Is that possible? I know that software like Type2iPhone allows the user to use the Mac keyboard to type on the iPhone. And software like Air Display allows the iPhone/iPad screen to be shown on the screen of the Mac. Would it be possible to have these two simultaneously? Is there any app/software that does that? Or, alternatively, is it possible to run two apps simultaneously that do that (does the bluetooth connection allows that)? Thanks.