When a rubber midsole is stitched to an upper, it can then be cemented to the bottom sole, using the process shown in this video: https://www.youtube.com/watch?v=AWqrAleYqL4
This means that you don’t have to stitch on the bottom sole. However, you do have to apply cement to the bottom of the midsole and the top of the bottom sole, then let it set for three days.
These two layers of soling will provide you with the opportunisoles were meant for bowling shoes, so they are smooth. These soles can be stitched to the uppers if you make a groove in them for the stitches. They can also be attached to the uppers with Barge or other shoe cement.
These soles would be great for dancing shoes!
If you plan to use shoe cement to attach any rubber sole to the upper, your topsole will bond to the bottom sole best if you use this sole as a midsole. The shoe cement bonds the best when you adhere rubber-to-rubber. When making the shoe you would cement the topsole to the midsole, then stitch this two-layer sole to the upper. Lastly, you would adhere the midsole of the shoe to the bottom sole.