To do this would invalidate the position of the U.S. President, Nullify the Congress and unjustify the Justice Department. Everything contained in the U.S. Constitution will no longer be valid or enforceable, including and not limited to federal laws. Even if the constitution is suspended, it has no bearing on the individual states’ constitutions.
Without the Constitution, the Presidency would be a dictatorship. Why would any President want to be dictator? The U.S. Citizens would not stand for it. We know how to handle dictators, we’ve done it in the past without remorse.
There are those who are bound by the constitution, heaven help those who would unbound them and think that it would be “a good thing”.