But that's what the Take Care Clause already does: "he shall take Care that the Laws be faithfully executed." One could abstractly hypothesize that this means being faithful to one's own willful views. But the obvious meaning is that he must act faithfully to fulfill their purposes and content.
If the president dislikes a pending bill, he has the power to veto it. Once it has been enacted over his (or his predecessor's) veto, he is obliged to execute it. There is no opt out, cross-your-fingers-and-do-your-own-thing alternative.
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That would imply the executive could "suspend" the laws, which is something that the English Declaration of Rights of 1688 and our own Declaration of Independence both rejected, atop their list of grievances against James II and George III.