Trump plans to return to Japan for a summit of leading rich and developing nations in Osaka in late June.
Behind the smiles and personal friendship, however, lurks deep uneasiness over Trump's threat to impose tariffs on Japanese autos and auto parts on national security grounds, a move that would be far more devastating to the Japanese economy than earlier tariffs on steel and aluminum.
Trump recently agreed to a six-month delay, enough time to carry Abe past July's Japanese parliamentary elections.
"On the surface, it's all going to be a display of warmth, friendship, hospitality," said Mireya Solis, a senior fellow at the Brookings Center for East Asia Policy Studies. But, she said, "there's an undercurrent of awkwardness and concern about what the future might hold. ... We're coming to a decisive moment. This is, I think, the moment of truth."
Also at issue is the lingering threat of North Korea, which has resumed missile testing and recently fired a series of short-range projectiles that U.S. officials, including Trump, have tried to downplay despite an agreement by North Korea to hold off on further testing.
"The moratorium was focused, very focused, on intercontinental missile systems, the ones that threaten the United States," Secretary of State Mike Pompeo said in a recent television interview. That raised alarm bells in Japan, where short-range missiles pose a serious threat.
"That is not an acceptable American position for Japan," said Green.
Japan, which relies on the U.S. for its defense, has also been largely cut out of negotiations with North Korea, even as Kim Jong Un has met with other leaders in the region, including China's Xi Jinping. That leaves Abe to rely on the U.S. as an intermediary, said Sheila Smith, an expert on Japanese politics and foreign policy at the Council on Foreign Relations.
"Abe has to rely on Trump to advocate," she said. Abe recently offered to meet Kim without preconditions in an effort to restore diplomatic ties.
With Trump's relations with the leaders of the U.K., Germany, Canada and other allies strained, Abe has worked more than any other leader to try to keep Trump engaged with international institutions, Green said, adding that it is critical for Japan's survival.
And while leaders across Europe and elsewhere might take heat for cozying up to Trump, analysts say Japanese voters see Trump more as a curiosity and understand the pragmatic importance of good relations, which they say has paid off for Abe.
Indeed, while Trump has rejected Abe's invitations to re-join a sweeping trans-Pacific trade deal and keeps the threat of tariffs in place, Trump walked away from his last meeting with Kim without a deal, which some had feared would include a declaration to end the Korean war and a vow to pull U.S. troops from the peninsula.
"I would argue that Abe has been so good at maintaining the relationship that maybe things could be worse," Walters said.