That's basically what a constitutional ammendment does now. The only way the States have of acting in unison on an issue is through Congress (Senate represents the States, House of Representatives represents the people).
Except that I would omit the involvement of the House and Senate; they are part of the problem. Quite a number of Supreme Court decisions are made favoring concentration of power in Washington DC and against the states. If the Supreme Court knew that it's decisions could be overturned by the collective actions of a supermajority of the states, there would be a greater incentive for moderation in the decisions of the Supreme Court.