They are all the same families, and the list is legit. You have to remember its a family business, not a church per se.
Not only are they all related, they are mostly lawyers. Old man Phelps finally got disbarred, but his offspring and in-laws are mainly lawyers too, and they file for the church now. Its a lawsuit mill, and its a family business.
The ones that go out and protest are only the bait to get either adverse crowd reactions and/or official denials of permits so that the lawyers can file suits against cities and universities for either failing to protect their people from crowd harassment or for 'violating their civil rights' for not giving into their usually pretty unreasonable protest demands as to exact time and location. They especially love universities, as invariably there are students that throw stuff at them or spray them with water, colleges are usually for more prone to settle than some other entities, and its a freebie two-fer anyway as there are usually city or county law enforcement involved as well in 'failing' to protect them from that, so they get two entities to sue for damages instead of just one.
The 'Church' makes up to several million dollars a year on the settlements to all the nuisance suits, and have hundreds going at any one time, more than 1000 concurrent ones at some points in the past. Its strictly a business model.