Ramsey theory deals with more varied objects than colored graphs, though Ramsey's theorem itself is almost what you claim it to be. See for example the Wikipedia article on Ramsey theory. The existence of ordered substructures within huge combinatorial objects is itself more general than Ramsey theory. It requires only a little imagination to conceive of a similar phenomenon producing the apparent rich structure in our universe. (Though I don't think this line of reasoning is very interesting.)