In legal circles, George T. Conway III is perhaps best known as the lawyer who argued a securities case before the Supreme Court and won with an 8-to-0 vote, or for his behind-the-scenes work that ultimately hastened the impeachment of President Bill Clinton.

In Washington, Mr. Conway, 54, a corporate litigator, is known as the high-powered other half of a conservative power couple: His wife, Kellyanne Conway, is counselor to the president.

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They unanimously described Mr. Conway as a high-caliber colleague and thinker; he graduated from Harvard at 20 and attended Yale Law. Mr. Conway is known to relish getting into the weeds of case law — “We are the weeds,” as his friend Joseph Grundfest, a law professor at Stanford University, put it in an interview. They also described him as a husband who moved his four children down from the New York area to Washington to support Ms. Conway’s career move, and whose politics have stayed aligned with hers throughout.

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“George would be spectacularly qualified to give legal advice to just about anyone on any topic,” Mr. Grundfest said. Asked whether Mr. Conway’s experience in Washington suited the president’s current needs, Mr. Grundfest said, “My neighbor has a poodle smarter than some of the people on Trump’s legal team.”

(Mr. Grundfest stressed that he had picked an intelligent dog breed.)