The primary demographic seems to be gamers that want to ditch Windows for Linux, but don't want compromise on performance. I can attest to the performance angle, but it has a number of rough edges.
This project seeks to solve input and output management. For example, I've been used a second monitor and a hardware USB switch, which is attached to my keyboard and mouse, for interacting with my VM. Looking glass actually performs excellently for input capturing for me, but I'm finding the video output just a touch too slow and find myself just switching my monitor input instead. I'm thinking that might have more to do with my using Intel integrated graphics on my host though, but I'm not sure. I'm pretty excited to see where this goes nonetheless.