They don't. Mama Bear is a cold pour glycerine soap, so it's totally unlike the tripple milled soaps like DRH and MWF. MB is great too - very close shaves, less cushion, very strong cool scents.
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If I had to pick one which I wouldn't lol It would be Harris. For the simple reason MWF takes work to get a great lather and can easily be messed up you have to add the water slowly. When you get it right it is great though.
I find the DR Harris to be great, but MWF is fantastic. DR Harris gives decent, lubricating cushioning lather, but the skin care just isn't there. MWF give sawesome cushion, lubrication AND skin care...