How do you reconcile something as messy as the Big Bang theory sounds with the well-ordered universe and biological systems that can be found in our universe?

Hint :From the beginning, the Big Bang Theory deals with the expansion of the Universe. It explains how the Universe came to be and how it continues to expand. It is not concerned with "insignificant" matters such as planetary or stellar formation.

Complete Step By Step Answer:
The Big Bang Theory states that the universe began rapidly expanding from a singularity approximately 14 billion years ago and continues to expand to this day. We can tell the universe is expanding because the further an object is from us, the faster it moves away from us. The universe may have been infinitely large at the time of the Big Bang, and it is continuing to expand indefinitely.
Even determining "facts" is a difficult, ongoing process fraught with errors. BUT, the point of the "Scientific Method" is to KEEP QUESTIONING and SEEKING SUPPORTING EVIDENCE, even if you believe you "know" the correct answers!
So, yes, we'd like to have a consistent description of our universe based on observation and theories of how those observations follow certain "rules," including what we can deduce about its past. Of course, you've already made a HUGE assumption (in the absence of specific evidence) that "the universe" is "well-ordered" to begin with!
In any case, true scientists (whether professional or amateur) welcome any new concept for investigation, as well as evidence providing additional support, modifications, or conclusive rejection of any model or theory currently in use.

Note :
The Big Bang Theory is a theory, not a law. This is because it is still unclear why and how it occurred. We have a number of theories about how and why the Big Bang occurred, but no scientist has ever found a formula or a clear explanation. As a result, the Big Bang Theory is not a law.