Yeah, with red oak you are going to want to go with the table saw rather than a router, or you will have big time chip out unless you have just the right piece with proper grain and still you might have trouble. Just like said above, there are a few shows norm and other have done where they did mortis and tendon joints, if you can find them and take a look or in fine woodworking, making mortis and tendon with table saw. Glue all your pieces together, let it cure, clean and extra glue off. Use a cross cut sled, your miter guage with a board and stop attached, or varried versions of it. Lay your substrate flat, mark off your dental pattern, take your safety fence off, have lever clamps on cross cut sled too, have another board clamped past the sax blade that represents the depth you are shooting for in your dental. Push the substrate forward and notch notch notch until the teeth are cut out. Takes quiet a few passes of course, saw blade isn't made to cut out alot. Once you have the teeth cut you can make another stand up sled for your table saw and make your passes to make the profile. If you are going to use your router for the profile do that first or you will shoot your dental teeth everywhere, even if you have the sharpest blade and the best directional grain. Hope this all make sense.
William