What glue can I use for glass and polycarbonate bonding?
I actually like a 50/50 mix of Gorilla super glue gel, 
and Loctite Super Glue Professional Liquid.  

The gel is a little thick, and the other is runny. Mix the two, and you get a great syrupy consistency that would be perfect for what you are trying to accomplish.  

Drip a bit of both on a scrap piece of cardboard, then brush it on your surface with a toothpick.  

Make sure your glue doesn't soak through your cardboard, because you don't want it to stick to the table. You could use a plastic-lid from a throwaway container instead.