If I would check their military capabilities based on "quantity over quality", neglecting their huge resources, I would say that China will win the war with the United States since it has large population to conscript their soldiers. As the history proves that the finest tactics in infantry is through mass human charge. If the basis is "quality over quantity", neglecting their huge resources, I would say that the United States will win the war since they have the modern and complex military programs, equipments, and troops. If we neglect all of the basis, I think that the United States will win the war since they have the air and naval superiority while the Chinese are land superiority.
I think the days when you win a war on foot at long gone. I imagine one nuclear bomb could take out millions of soldiers. The Chinese can have 200 millions soldiers. That still won't help them that much if they don't have the equipment. Rifles aren't going to be able to take on bomber planes or rocket launchers. You have to be able to move them all around very quickly and it would be good if they all had some heavy equipment to work with. In terms of technology, I agree, it seems that the US is ahead. They'd better be, considering how many trillions of dollars they poor into it!