How would you let members here know the name had changed? Email? I expect there are at least some pro-lifers with accounts here. Plus- very likely law enforcement too I imagine. Perhaps they are lurking, perhaps they are active now and then but masking. So- they would find out too- and tell all their friends. I doubt it would take that long for them to find it again...
Plus- I'm not sure how simple it is to just change a name- firstly, it needs to be a name not already in use. I think it may even be necessary to buy a new domain name- after quickly Googling it. Plus- there are all the graphics on the site that would need to be changed to the new name- all costing money. Maybe not huge amounts but- seeing as any pro-lifer lurking here would know the new details immediately- I'm not sure it would be worth it.
Of course- what would happen would be- people trying to find the site after reading things like that old New York Times article- or, watching Tantacrul's video- may have a harder time of finding it.