Thank Everyone,

Splint,  there's a lot of that going on now,  I see it more in custom closets,  but it's moving into custom builds.

Thank Mark,   Nothing more than a good sharp dado blade. Being that the blade is only raised up 3/16", it acts more like a scoring blade.  

Just for general talk for cutting melamine.   This is my experience with it.
I always score my melamine to get 2 clean sides. I've used a ton of melamine blades, that do ok depending on the job, but those blades usually only handle chip free cuts for about  6-10 sheets worth of cutting. Scoring gets me the best result.  
Also when not scoring,  there is a sweet spot for your blade height. The lower your blade the better for the bottom but could push up chips on the top.  The higher up, the better for the top but more chips on bottom. All depends on your blade but I always play with the height to try to find the best height. 
In general, I don't personally follow any rules about how high a blade should be.
Example:  1/4" above wood or just to the bottom of the gullet.
Even though that is good for most cutting.  I prefer my blades usually up a little higher giving me more downward pressure. As always, it depends on your blades and what you're cutting. You develop a feel for it after a while.
Of course this is just how I do it, I'm not saying what anybody else should do or what is right or wrong.

Figuring out how to do something you have never done is what makes a good challenge.