You can be a global superpower without an enormous conventional military though. I would argue that China is already there. There are 4 instruments of power and China is already globally leveraging 3 with extraordinary success. Further that with their non-conventional military capes (read Cyber and InfoOps) and they are slowly reprogramming the world to adhere to their narrative.
Something interesting happened post Cold War. The worlds 2 largest super powers began using assassination (and still do) to accomplish political objectives. Why is this noteworthy? The taboo against assassination began in after the 16th century Peace at Westphalia. Sovereignty had been established as a political concept and big states realized they could easily exert power over small states with enormous standing armies. The problem with this model though, was a King Slayer could take your billion dollar army and make it worthless by removing the reigns of power overtop it. Because of this, the European Great Powers (as in UN 0.1 alpha) began advocating that assassination was morally evil, that heads of state were inherently civilian, that they only acted in the states interest, and therefore should be protected from the belligerence of war.
The point to all of that is, all of that was upended in the Cold War. Nuclear war, by nature, is not conventional. Special Operations Forces, became a thing. Cyber is now a thing. Information Warfare is now a thing. The power paradigm that existed between 1575 to 1945 is shifting. The large, professional, standing army, is losing its appeal as the means of projection. I think China has this figured out. I think Russia is figuring it out now. I think we are REALLY slow to the plate with this. Largely because we have the largest, most impressive standing army in history. We've invested too much in this strategy to began thinking differently now.