WASHINGTON — President Trump summoned all 100 members of the Senate for a briefing by his war cabinet on the mounting tensions with North Korea. An American submarine loaded with Tomahawk missiles surfaced in a port in South Korea. Gas stations in the North shut down amid rumors that the government was stockpiling fuel.

Americans could be forgiven for thinking that war is about to break out. But it is not.

The drumbeat of bellicose threats and military muscle-flexing on both sides overstates the danger of a clash between the United States and North Korea, senior Trump administration officials and experts who have followed the Korean crisis for decades said. While Mr. Trump regards the rogue government in the North as his most pressing international problem, he told the senators he was pursuing a strategy that relied heavily on using China’s economic leverage to curb its neighbor’s provocative behavior.

Recent American military moves — like deploying the submarine Michigan and the aircraft carrier Carl Vinson to the waters off the Korean Peninsula — were aimed less at preparing for a pre-emptive strike, officials said, than at discouraging the North Korean leader, Kim Jong-un, from conducting further nuclear or ballistic missile tests.

“In confronting the reckless North Korean regime, it’s critical that we’re guided by a strong sense of resolve, both privately and publicly, both diplomatically and militarily,” Adm. Harry B. Harris Jr., the Pentagon’s top commander in the Pacific, told the House Armed Services Committee on Wednesday.