What is seemingly 'randomness' and 'chaos' do not fit in with the idea of a willful and purposeful Intelligent Design: but they do fit in with Intelligence. Part of the problem is our dualistic thinking: we see what we call 'chaos' as the opposite of 'order', and 'random' the opposite of 'systematic'. When understood more fully, it is seen that they are inseparable and complementary, rather than in opposition, therefore are actually one reality. That they are in opposition is only an idea in the mind. We also see the world as an artifact; a collection of 'things', that came into existence as a matter of creation. But it was not created, but evolved. The problem is that we confuse 'form' with what we call 'things'. There are no such 'things'. Everything in the universe is an action taking on a form, an ocean wave, for example, which is not actually a 'thing' in itself, but a wave-form. And what is the source of all form? That which is formless, or what we think of as 'chaos'. It is this very formlessness that is Pure Abstract Intelligence, playing itself as 'The Universe'. IOW, and as the Hindus have told us for over 4000 years, what we think of as a 'real' material universe is actually an illusion, a play, if you will, which they call maya*. It is this maya that is the result of play, or lila, as they call it. On the level of dreams, for example, we see that as reality, but upon awakening, it's illusory quality is instantly clear. Not so when we go from this 'awakened' level to the next higher level of conscious awareness, because the 'material' world, which we perceive via the senses, remains in place as such, that is, until we pierce the facade of materiality and see into it's true nature: an illusion of a higher caliber. And the only way this can be detected is via an awakening to and connection with the background of 'material' existence, which is Pure Abstract Intelligence, or what science is now trying to understand as 'The Unified Field'.
*Science itself, in trying to fathom the essential nature of the atom, is coming up empty-handed. It cannot find that elusive solid 'particle' it thought was there, and, in many cases, is now seeing what was thought to be a 'particle', is actually standing waves which emerged from the field within which the 'particle' is found. IOW, material reality is not about any particle, but about the field, or background, out of which it emerged. All of the mass of the atom can be accounted for by energy fluctuations in the Quantum and Higgs Fields, this mass being virtual mass.