Something in the Aizoaceae, sorry don't know what but check out Carpobrotus and Mesembryanthemum for starters.
The submitter of the photographs sent me a followup email (and thanking you Michael F). He's done a bit of searching around using your suggestions and found this: Mesembryanthemum crystallinum
Hi! I think you correctly identified the plant in these photos I took years ago as Mesembryanthemum! I searched Google photos and found identical-looking plants identified as Mesembryanthemum Crystallinum!!! Much appreciation, Steve Schlein