Why? At the time the most recent war scares the British had had was with the US over Venezuela, and with the French and Russians. The German-British rivalry really hadn't gotten going yet, and the British-American friendship hadn't either. At the time, the only real close ally the British had was Japan, and the British didn't actively support them in the Russo-Japanese War in 1905 (though they came close after the Russians idiotically shot up a bunch of British fishing trawlers thinking they were Japanese torpedo boats).
The British likely would have done absolutely nothing.
But I see your side.