I'm not sure about whether the Chinese would be hostile to Japan. The general sentiment the Chinese had immediately after the 1894 War was: "If you can't beat them, join them." There was a genuine admiration for Japan's achievements, a fever of oversea study in Japan which lasted until the next war, and even talks of a confederation in 1898.
Good point. An additional factor is that China can more easily sympathize with Japan's position over Hawaii than America's, because it was perceived as a dispute not only over territorial influence, but also over the right to immigrate. Many Chinese, who felt humiliated by the Chinese Exclusion Act, could see Japan's going toe-to-toe with America over Hawaii and Japanese migration there as a brave and admirable move.
R
EALLY funny thing about the "US vs. Japan in 1897" is that the Japanese flagship in 1897 had an American commanding officer in 1896, and the Japanese flagship in 1896 had an American staff officer who presumably would have been in the USN in 1897, and readily available to advise the USN on the strengths and weaknesses of the IJN...as he was in 1898, as the navy's oldest lieutenant.
And if the "US vs. Japan in 1897" war broke out, the American who had been in command (a year previously) of what would have been the Japanese flagship would have been around to advise the USN on the strengths and weaknesses of said IJN flagship.
That's fascinating, and shows a clear advantage to the Americans in naval intelligence. It is a reminder of the Meiji era's dependence on foreign talent until nearly the turn of the century.
The Far Eastern Squadron, that Dewey led in Manilla IOTL, that I believe was based in Hong Kong would seem to be the obvious initial target for the Japanese fleet as it can both achieve a decisive superiority and eliminate the most significant American naval presence in Asian waters. After that there isn't a whole lot Japan can do except wait and prepare for the American fleet to attack.
The Japanese would start the war with action in Hawaii, or they wouldn't start it all. They would start by disembarking troops to protect their interests, or clash with American ships in Hawaiian waters. Once things got hot there, sure, they would go after US Far East Squadron with their home based ships.
In addition to overall OB we need to look at what ships and marines each side had right around Hawaii in different parts of the 1890, to get a picture of initial clashes or if the Japanese could build up a hope of a successful show of force or attack to gain local superiority.
--What of the human rights aspects in the event of any close combat? Japanese military culture was much different in 1897 compared to 1941.
Would military behavior on both sides be fairly chivalrous as in the Spanish-
American War? Or would it be chivalry on the Japanese side matched by racially motivated rat bastardry against civilians and PoWs on the American side? Or rat bastardry and maltreatment of prisoners and civil populations on both sides?
Here I would make a plug again for Pacific Gibraltar. It's a fun book. Also, political violence in Hawaii in the 1890s appeared to be relatively restrained, even if it was a struggle for power. The American community wanted to be in power, but they sent wounded opponents get-well letters. The Hawaiians were relatively sporting if inept. I'm not sure about how the Japanese resident in Hawaii would behave. Perhaps in the easy-going American and Hawaiian style, or in bitter-ender style.