We do see more "order" than we expect, in the universe. Galaxies that are too old... congruous movement of groups of galaxies... but that's probably due to our own ignorance of what we should expect to see.
How does order happen on its own? At the expense of disorder, somewhere else.
How do we see such fine "order", in life on earth? At the expense of disorder. Novae explosions, radiation from our star as it marches toward its own death, etc.
Fusion and forces from novae have created heavier elements. These heavier elements (Heavier than Hydrogen and Helium) play with the Hydrogen in the universe. Their energy to do so lies within them and comes from their very creation, in these high pressure/high temperature environments.
When we gain energy by splitting atoms like uranium, we are accessing energy imbued into those atoms by those high temperature/high pressure environments, and thus by the events that caused them to exist. The atoms we split (fission) were all created by novae explosions or by decay from other atoms created in novae explosions. Every single one.