If you are talking about Corian or similar products, no problem. I've done it for years. Not with the type of router you have, but with a CNC. I usually cut at 50 ipm. With a good bit your joints will fit perfectly. I have done miter folds but usually I do a double layer build-up. Depends on the top.
I have a big table, 80" x 144" and if I can get the entire top on my table, I cut my sizes to be jointed a touch larger, glue the pieces together and cut the whole top on my table.
I am doing a top know that is 122" x 42", an 'L' shape. I cut two pieces to be glued together. After they are glued, I will apply the edge build-up. Then I will re-position the top on the table, up-side down. To position the top, I will run the completed shape into the top of my spoil board. I will glue the top down with hot melt glue.
Once I have positioned the top, I will cut out for the sink first, then, I will cut my outside edge. I cut this edge which is 1 1/2" thick in three passes. For my step for my cuts, I use .625 which leaves about a quarter of an inch for my last cut. I know it takes longer but with a very shallow cut, I have less concern of my top moving.