Even though Hamilton, and possibly Madison and Jay as well as many other Founders, may have entertained ideas of SCOTUS and the Federal judiciary having Powers of oversight and the right to strike down Congressional and executive laws, actions, etc as unconstitutional, the fact is that they never went as far as adding that provision to the Constitution. If they had agreed for that power, it would have been listed; especially since they did go so far as to encode that the Federal govt doesn't have any Powers not specifically listed. We must assume they did not intend it to be so.
So, what does this all mean? It means Congress, in OTL, has the right to say "SCOTUS doesn't have the right to review this law" and has indeed exercised that right. SCOTUS has always had a fine line to thread because they know that the Constitution does not protect their ability to review laws, and Congress through a simple 50%+1 vote in each house (and presidential signing) can take SCOTUS's review power away, permanently.
Now, in this ATL apparently scotus and the Federal judiciary will have that explicit power to review and strike down. This changes history in a major way. Starting with John Jay the court has this power, and court becomes politicized earlier. Courts will be smaller, when you need unanimity then you don't need odd numbers and smaller is better if you're side has the appointements. Once Jefferson (the first non-federalist president), you expand the court's numbers (with younger new members) and when older ones die off you don't replace. So does Jay find it better to remain chief justice instead of becoming governor of NY with the belief that is a better stepping stone to the presidency? What does a longer Jay court do? Does he fight tooth and nail against Jefferson? I find the unanimous part of this pod less important than the fact that the judiciary actually will have as much talk in the Constitution as the other branches. Basically in OTL all you need is a chief justice and that's all, no other justices or courts are constitutionally required to exist. Each Congress and president will expand and contract the courts as needed.