On her last day as First Lady, Betty Ford jumped on the Cabinet Room table in the White House and started dancing; ca. 1977

An ashtray at every seat. You sure won’t see that anymore.
The “Nixon Madman Theory”
Essentially, a key tenet of Nixon’s foreign policy was to make the leaders of communist countries think that he was unstable and prone to use nuclear force. What ensued in his first year in office in 1969 is one of the most fascinating episodes of the Cold War because it really highlights the growing split between the USSR and China and how Nixon tried to drive a wedge between them in order to strengthen the United States’ relative power and influence.
During the buildup to the Vietnam war after the Cuban missile crisis, and prior to Nixon taking office in 1969, leaders in the US and USSR would generally not explicitly threaten each other for fear of stoking another nuclear crisis. Nixon believed that the only way to end the war in Vietnam was to get North Vietnam and China to back down in the face of nuclear extinction, as the threat of nuclear escalation is what brought about a ceasefire during the Korean War. After secret peace talks in Paris to end the war stalled in the first few months of his presidency, Nixon went full ape. If Teddy Roosevelt believed that the United States should speak softly and carry a big stick, Nixon believed the United States should yell incoherently and flail its stick around.
In October 1969, Nixon issued a secret high level alert to his top military brass. He told them to be on standby to use nuclear force against North Vietnam and possibly the USSR and to scramble planes equipped with nuclear bombs to fly near Soviet airspace. This was kept secret from the American public, but was made loud enough so Soviet intelligence would pick up on it. At the time, Nixon wanted to escalate the war in Vietnam by expanding the bombing campaign into the North, which was not popular with the American public and would have likely resulted in fully-fledged war with China. So Nixon wanted the North Vietnamese, the Chinese and the Soviets to think that he would do anything to win the war in Vietnam without actually having to do anything. It was a huge gamble.
But let’s not forget that in the immediate months prior to Nixon’s secret order, the USSR and China were in an undeclared military conflict with each other over a border dispute. Relations between the two communist powers had soured since 1960, which Nixon sought to capitalize on.
Prior to Nixon issuing the nuclear alert, the USSR was considering a preemptive, possibly nuclear attack on China’s nuclear arsenal. The USSR worried that if the United States escalated the Vietnam war with nuclear force and if China responded with nuclear force too, then they would get dragged into a nuclear war with them as well. When a KGB officer approached an American diplomat about the possibility of the USSR striking China’s arsenal and how the US would respond – and allegedly even asked if the US would collaborate with the USSR to weaken China – Nixon made it very clear that the US would not tolerate an attack on its enemy by its other enemy.
But while Nixon intended the nuclear alert to influence events in Vietnam in his favor, some evidence from recently declassified Cold War documents suggest that the USSR mistakenly believed that the alert was meant to warn the USSR against attacking China’s nuclear arsenal.
Nixon did want to exploit the soured relations between the USSR and China in order to have leverage over the Soviets, and the nuclear alert had the unintentional effect of hinting that the US would side with China should a nuclear conflict arise between them and the USSR. This also unintentionally played into Nixon’s policy of opening up to China. By opening up to China, the US would no longer be dealing with one communist power, but rather two competing communist powers that were at odds with each other.
The nuclear alert issued in October 1969 did nothing to improve the situation in Vietnam (and arguably made things worse). While it did frighten the Soviets, they did ultimately interpret it as a bluff. Still, it indicated to the Chinese that Nixon would give them leverage over the USSR. It set the stage for rapprochement with China, which culminated in Nixon’s monumental 1972 visit to the communist country and the subsequent improvement of Sino-American relations. And of course, the visit laid the foundation for the deepening of economic ties between the two nations.