We will have to wait and see how the structure will be built. It appears that as a citizen the election process will remain as us electing our governments and then they appoint representatives. (Quote below of a suggested structure)
After the first world war it was the League of Nations, after the 2nd world war the United Nations, after the 3rd world war? A World Federation, the structure yet to be decided.
This was offered after the first world war.
"....For example, the question of universal peace, about which Baha’u’llah says that the Supreme Tribunal must be established: although the League of Nations has been brought into existence, yet it is incapable of establishing universal peace. But the Supreme Tribunal which Baha’u’llah has described will fulfill this sacred task with the utmost might and power. And His plan is this: that the national assemblies of each country and nation — that is to say parliaments — should elect two or three persons who are the choicest men of that nation, and are well informed concerning international laws and the relations between governments and aware of the essential needs of the world of humanity in this day. The number of these representatives should be in proportion to the number of inhabitants of that country. The election of these souls who are chosen by the national assembly, that is, the parliament, must be confirmed by the upper house, the congress and the cabinet and also by the president or monarch so these persons may be the elected ones of all the nation and the government. From among these people the members of the Supreme Tribunal will be elected, and all mankind will thus have a share therein, for every one of these delegates is fully representative of his nation. When the Supreme Tribunal gives a ruling on any international question, either unanimously or by majority rule, there will no longer be any pretext for the plaintiff or ground of objection for the defendant. In case any of the governments or nations, in the execution of the irrefutable decision of the Supreme Tribunal, be negligent or dilatory, the rest of the nations will rise up against it, because all the governments and nations of the world are the supporters of this Supreme Tribunal. Consider what a firm foundation this is!" – Selections from the Writings of Abdu’l-Baha, pp. 306-307.
Abdul'baha offered that would be established in the 20th century, so it is possible the United Nations is that body, but needs the given power of enforcement and vetoed votes are not allowable.
Regards Tony