Mr. Bolton’s nomination as deputy secretary of state would be subject to a vote in the Senate, and it is not clear whether he would survive his confirmation hearing. Senator Bob Corker, Republican of Tennessee, chairman of the Foreign Relations Committee, has said privately that he has misgivings, according to a person who has spoken with him. And Senator Rand Paul of Kentucky, another Republican on the committee, has promised to block the nomination…

Another impediment is that Mr. Tillerson has expressed misgivings about having Mr. Bolton as his deputy, according to a person who has spoken with Mr. Trump in recent days. But Mr. Bolton remains under consideration for the job. And he enjoys a powerful ally in Sheldon Adelson, the casino magnate and Republican megadonor who favors the kind of hard-nosed posture that Mr. Bolton would bring…

Though Mr. Bolton, 68, is admired by conservatives like Mr. Kristol who agreed with the Bush administration that American military intervention was a necessary force for promoting stability throughout the world, there are also many Republicans who want to leave the Bush years in the past.

During the campaign, Mr. Trump professed to be one of them.