Then you need to outline exactly in what ways the constitution would constrain majority rule (or whatever you mean by "democracy").
Look at the real world. Do you really need me to give you a lesson on constitutions? Judges shoot down laws that are unconstitutional. Judiciary over rules the government.
Yes... I've been jumping back and forth between national and global discussions. That said it would be the same as in all western nations. A court would overturn unconstitutional laws.