Oh, my, good old Ice Plant. I remember that stuff from when my family was stationed in Los Angeles in the early 60's.
I would recommend pulling it up and composting, from what I remember it is really more of a weed, used for erosion control along freeways or on
berms it is good stuff.
For areas that will grow food supplies it would not be so good, it grows fast and like Bermuda grass it sends out runners, it also self propagates from any point it touches the soil.
It is about as hard to eradicate as Bermuda grass too.
The "leaves" are similar to Aloe Vera in their makeup.
If one wants to
compost this plant, it will need to be dried up first by pulling or digging the
roots then letting those roots dry out for quite a while before being put into a compost heap. If you don't do that, it will simply start growing in the compost pile and take it over in a year. Another choice would be incineration.
Example: I pulled up at least 150 sq. ft. of the stuff and threw it over the
fence into a vacant field behind our house. My mother wanted gardens where it was growing. I did this work in the spring and before summer was going good, there was a new field of Ice Plant growing where my efforts at eradication landed, it spread so fast, that before the summer was over it had doubled the size of the area where it was growing. Fortunately, behind our house was an oil field, and they didn't mind that it was growing where I threw it as I pulled it up. We lived there for about 8 months before being transferred and in that time the area of the "transplanted" Ice Plant at least tripled in area.