Just to clarify from adrian1334's post, the VPN software was not running when I was having the issue. I was only connected to my home network. However, Windows 8.1 acted like I had a second monitor running. I was getting the choices of duplicate, extend, ect like I had an external monitor connected, but it would not give the option for adding a wireless display. As soon as I uninstalled the VPN software, the duplicate, extend, etc options disappeared and the add a wireless display showed up. The VPN software is conflicting with Window 8.1 in some strange way. This has been found by several people online.
Also, I don't think the local network should have any effect on this. Doesn't miracast work through a point-to-point connection directly between the adaptor and the device? I know the adaptor never had to be configured to access my network in any way.