So, instead of the current Magna Carta project (which was clearly defined as providing proven descents from a certain limited list of known descendants), it sounds as if you want to have a "searching for Magna Carta descendants" project that would link a broader category of descendants than Douglas Richardson originally defined. A great idea! Take it on!
Just be aware of the amount of scholarship, energy, and knowledge it will take. Richardson gave us a useable starting list, because of his astonishing work, but, unfortunately, it is restricted to emigrants to the British colonies in America. Yes, more are needed, probably firstly those British people who descend directly but have not emigrated anywhere, or Australian/Canadian/British Empire descendants who are directly descended. But that scholarship has not yet been done. If you are equipped to do it, then we would all applaud the effort! And would join in helping!
But, not all of us have the chops (reading Middle English, deciphering Medieval English records, etc) to accomplish what Richardson has.