Are Random mutations and Common Descent fundamentally intertwined processes?

Yes, my mistake. I meant de novo created organisms for advanced life NOT simple life. Let me state the hypothesis again to be more clear:

A Universal common designer re-used a DNA blueprint, RNA viruses, and chemical constituents to separately construct animals from different locations around the globe.

These basic types of animals would NOT be static but dynamic. They would be able to adapt to changing environments and diversify into kinds over long epochs of time. This would involve the designer employing many familiar mechanisms ,such as gene drift, and a common set of solutions to address a common set of problems facing unrelated organisms in their quest for survival.