Is there any credible evidence for the theory of Spiral Dynamics?
Dr Graves' research relates to human developmental psychology, not 'all living things'. In his book Integral Psychology (2000) Ken Wilber cross references multiple bodies of work, including eastern philosophy and western psychology. Wilber mentions a number of other researchers whose work correlates with Graves' findings, including Paiget, Fowler, Kegan, Cook-Greuter to name a few. 

Three key findings from Graves' work are:
1. The responsive nature of human consciousness to the complexity of life conditions.
2. The trajectory of and the human experience of change between the stages.
3. The open-ended, staged developmental sequence with alternating themes of self-expression and self-sacrifice.

You can find my interpretation of Graves' model at my website https://www.eman8.net