There are many problems with any organization’s attempts to invent a new halacha. Perhaps a better agreement might be to agree that in event of divorce, the wife picks the Beis Din, since she is the one with problems if there is no “get”.
In some countries there is an generally recognized Beis Din, sometimes with official status, but there are usually multiple subgroups and if one of the factors in the divorce is religion, that is likely to be a problem. One doesn’t know in advance what country one will be living in ten or twenty years in the future, or what that country’s policies will be. In the USA, policies have varied between total respect for a Beis Din in settling matters of divorce between Jews, to making it a crime to go to a Beis Din for a “get” unless you already had a divorce from the government.
Of course the solution would be for people getting divorced to act rationally and not trying to rip off each other, but that verges on relying on a ??.