Symmetry is fundamental to physics. The Standard Model of particle physics is based on the concept of symmetry: the behaviour of particles is a direct consequence of the symmetries they posess (or lack, depending on which way you look at it). General Relativity is founded on notions of symmetry. As proved by Emmy Noether, all conservation laws - the conservation of energy, the conservation of momentum, and the conservation of angular momentum, to name a few - are the expression of underlying symmetries.
In the QO view of the universe, the importance of symmetry is not surprising. The presence of symmetry makes it possible for a wave to resonate, and only waves that resonate exist. Symmetry is the origin of being. This is the view that is espoused in the origins of symmetry.
Mainstream science accepts symmetry as a signpost toward better explanations, but does not have a clear explanation as to why this should be so.