The first consideration for any new government is what is governed and what is the governor, without these two questions being answered, there cannot be a successful functioning government with an Established Government Authority, which by definition is anarchy. For the United States the collective decision making of the States is what is governed, and the legislative processes to reach a majority consensus of al the States as the Union is the governor.
As long as we keep this purpose of government in mind, then we can assemble and administer a government on any level and with as many members, States, as desired. But remember, there must be a participation versus compliance agreement between the members, the States, to establish the benefits, privileges, rights of participation in decision making, and cost of membership in the Union, which must be formalized in a constitution to render the agreement unalterable by any means without the consent of all the members, including amendment by interpretation!
This is where we are going to begin our exploration of our governing system, and this purpose of collective decision making through consensus choice will be the basis of our assessment. The current embodiment of our government does not meet these requirements and therefore is a built upon fallacy.