Question

"The Constitution . . . Meant that its coordinate branches should be checks on each other. But the opinion which gives to the judges the right to decide what laws are constitutional and what not, not only for themselves in their own sphere of action but for the Legislature and Executive also in their spheres, would make the Judiciary a despotic (dictatorial and oppressive) branch."

Answer 1

The correct answer to this open question is the following.

There is no question here, just a statement.

So we can just comment on the following.

It is true that "The Constitution . . . Meant that its coordinate branches should be checks on each other. But the opinion which gives to the judges the right to decide what laws are constitutional and what not, not only for themselves in their own sphere of action but for the Legislature and Executive also in their spheres, would make the Judiciary a despotic (dictatorial and oppressive) branch."

That is what the United States President Thomas Jefferson commented on September 11, 1804. What he tried to express with that quote, answering to Abigail Adams was that, according to the US Constitution,  the judicial branch, and more specifically, its judges, could decide on the constitutionality of some legislation, but only to advise the Executive and Legislative branch.