I cut our sink cover into two pieces and it is one of the best mods we have done, ask my wife. It adds significant counter space and still allows sink access, you can put the half piece on either side or the front and still have the spout miss.
I called the counter top manufacturer and asked how to cut it. They said to use a standard carbide tipped blade and cut dry. Then sand the cut surface with progessively finer sand paper to get the desired glossy finish. It worked very well and looks like it came that way.
I used a 7" circular saw because I had a thin 1/16" thick blade so that I removed a minimum amount of material, the blades for my table saw are 1/8" thick. I don't recall the number of teeth (I am on the road right now) but it wasn't one with few teeth made for ripping, it had more teeth for finer wood cuts -- the more teeth the better, less sanding. Also, there will be a lot of dust, so plan accordingly.
Hope this helps, Bob
Additional info:
I applied 2" masking tape to top and bottom of the cover where the cut would be to minimize any chipping, there was no chipping at all. I also covered the surface with the masking tape where the circular saw would slide across to keep from scratching the surface. I clamped a guide to the cover to make the cut straight and clamped the cover to my table saw surface to keep it from moving, had to put spacers under the cover for blade clearance. It cut easily and quickly.