JuneOntario said:... I occasionally need to transplant seedlings that pop up in the gravel driveway on the other side of the house.
Great observation there! Gravel and sand beds are amazingly good at trapping every seed that blows into them. Weeding the alpine beds themselves is pretty well a nonissue for me, but I do spend time weeding the edges, where vast numbers of seeds from every plant in the yard collect and start to grow!
Yes, all the Pulsatilla species are excellent plants for the rock garden, or the regular garden if you're in an area where conditions allow it (like here). Pulsatilla vulgaris is the easiest to grow and self seeds very well here too.
I grow a cultivar of Scabiosa columbaria but not in the rock garden - it's extremely vigorous in regular soil.