Issodhos, at the bedrock, where I think your system is falsely based is your claim that government should exist only to secure individual rights. On what is that based, other than your assumption? Why not common rights as well?
IMO it is worthwhile to consider why and how governments came into being. That is, how did primitive human groupings develop the institution of "government".
IMO, the examination of that question will show that government did not develop as a means to secure rights. And, if that is the case, it seems logically problematical to propose that this function is the EXCLUSIVE justification for the existence of the institution of government.
"It's not a lie if you believe it." -- George Costanza The whole problem with the world is that fools and fanatics are always so certain of themselves. --Bertrand Russel