My brother-in-law is a professional carpenter.  I asked him to come help me cut the angles on the side panels as I had a number of precise cuts to make.  He worked for a company that specialized in laminating for a while and he showed me a different and somewhat easier way to laminate.  I had not seen this before and thought I should document it here.
First off he uses a can of Loctite as glue so no rolling.  He also cuts the panels to a rough size before laminating.  We laminated and then cut the laminated pieces to the final size.  It seems bass-ackward but really went amazingly quick.

You spray an even coat on each piece.  Spray the glue up and down on one piece and side-to-side on the other.

You should end up with a spider-web looking mess of glue.  

His process seemed to go much faster than the way I was laminating.  For one thing the roll-on glue I was using would get soaked up by the MDF requiring multiple coats.  The spray does not.  The spray also tacks up much faster.  
