It's not a weed if you want and like it. A lot of garden plants are just re-purposed weeds. On a trip to Washington one time I saw a tractor with a front-end loader removing ferns from a pasture. They were obviously clearing them in the way I remove prickly pears and mesquites and other unwanted vegetation in my pasture. But the ferns would have cost big bucks here in Texas. They were big and beautiful.
I've been distracted by the cattle and other things, so I haven't attempted to move any of the moss. I'm not sure how to approach doing it. It's really at its best during the winter months and doesn't seem affected by freezes, so from now through March may be a good time to attempt it. I have a plentiful source when I get ready to try it.