Turn the British into the Great Satan of the early USA? I'm thinking have them join in against the Union during the American Civil War resulting in a forced peace that leaves a rump Confederacy independent that's effectively a British puppet. American jingoism results in a mass military buildup along both sides of the border, and Russia is by default America's greatest coaligned power. This results in lots of lavish yet empty promises, but a later buildup in trade between Vladivostok and San Francisco. Japan allies with the British, and as a result of the Russo-Japanese War it turns into a general war between Russia and America versus Japan and Britain, resulting in a land victory for the former that overruns Afghanistan, Korea, and Canada but a detente at sea where the Anglo-Japanese rule supreme. Naval buildup by the Americans eventually results in a strategic defeat at sea that brings Britain to the negotiation table despite still blockading the hell out of both countries, resulting in a de facto transfer of land where the Russians take Afghanistan, Korea and Manchuria either formally or informally, the Americans take the Canadian Rockies and everything west of it(maybe Alberta too?), the British take Hawaii and the American Caribbean holdings, and Japan takes the Philippines despite having a very weak hold on it and constant warring with rebels.
As a result of the incredible economic disruption caused by this war, citizenry in all of these country are angry at their respective governments but view their cobelligerent ally in the war as their closest ally.