The title of the forum says "who is the rightful heir to the french throne", so i'll go ahead i give my opinion.
Personally i believe that since Louis XIV "The Sun King", the house of Bourbon has shown nothing but unfitness to rule a France that ceased to be the easy going absolutist France to grow into the Illustrated ever changing France of the 1780's.
The question is "who among the Orleans, Bourbons and Bonapartes is the rightful heir to the throne". Bourbons I believe will have the ghosts of the excess of the Revolution hunting them wherever they go; The classic waste and excess of Madame du Barry, la Marquise de Pompadour, Marie antoniette combined with Louis XV defeat during the crucial wars that preluded the loss of French supremacy in the seas and North America, his poorly handled political administration(after the death of Cardinal Fleury ), his poor moral values and the total disaster that meant the rule of Louis XVI(although the help he give to the Americans during the Indepence wars that came at the cost of paving the way to the revolution) give a painful result that still causes revolt for the Absolute system.
Orleans, well, they had a chance to give the monarchy a new oportunity in France the only problem was that they never new wich side to pick. Besides the Orleanists dont really have anything to support their claims(i mean historically, what have they done , what extraordinary achievement have they reach for France).
Bonapartes in the other side i think they mean a transition to a new era. I wrote before that Bourbons were never able to handle Post revolutionary France. if you look at the begginings of the revolution in France most people believed that monarchy was over for good(the excess, the terror were aimed at achieving that), most royalist were nothing more than emigres. And suddenly a soldier, a petit corporal, a man who shared the pain of his troops, someone who fought with them was there.
Napoleon Bonaparte had arrived to the scene, we all now what happened later, why do i say bonapartists have the strongest claim?, well, if it wasn t for Napoleon, monarchy would have stayed away from France for a long time.
Napoleon took the old system and adjusted it so it could fit the new revolutionary France, it gave Justice a chance, Introduced a Code we all know and gave France the chance to regain the prestige that Louis XIV had gave her hundreds of years ago. Since then if Bourbon mean pre -revolutionary humilliation and excess, Bonaparte means greatness, brilliancy and Bravery. A warrior dinasty founded by a warrior and one of the greatest of all times