Adding 3/4" height to kitchen cabinets for slab granite countertop installation?

I have already removed all counters for my update of our countertops. It is my understanding that we will not have any other backing as our slab is 3cm (1 & 1/4") thick and will be placed directly on top of our existing oak wood cabinets. Most all cabinets are level with one exception, the bar/eating (part of an "L" shape) area which has peninsula cabinets opening on both sides. These cabinets are 3/4" shorter than the rest. My question is: Should I just add by means of gluing and nailing a 3/4" strip above the edges of the cabinets where the counter will rest or is it not going to be solid enough for my template guys requirements?