It is indeed accurate that throughout the history of the civilized world, the Executive has not had the power to unilaterally suspend the writ of habeas corpus.
I am very pleased that you've managed to admit this stubborn fact. Perhaps now you will be able to come to the realization that the President does not have greater powers than even a King.
I would be pleased if you could finally accept the fact that something is not unconstitutional merely because you say so. But I'm not holding my breath.