The Philippine Insurrection was indecisive and long drawn out, until two subordinates of General Pershing decided to execute some Moro pirates and have them buried in pits with dead pigs, to send a message.
As such, credit for the successful conclusion goes not to the White House, or to conventional military tactics, but a willingness to use unconventional means, though the final decisive battle was won after Roosevelt had left office.
The war itself, and the duplicitous nature of the US annexation which caused the war, resulted in the formation of the anti-imperialism league, founded by Mark Twain, which did much to persuade the American public of the vile nature of the European model of colonization, and that while the US should keep the Monroe Doctrine, it should not engage in such behavior itself.
The Philippine Insurrection and the Moro War were actually two different wars. Although nearly forgotten, the Moro War was, arguably, America’s longest war, lasting from 1902 until 1917.