Are you going to provide specious adaptation as your examples? Not exactly mutatations necessary for the transformation from one genome to another.
I would ask you if the mutated organism mating with one that is not, would reproduce that mutation in the subsequent generations? If not then you fall back to square one and have to wait for that same mutation to appear.
Lets be clear here, I'm not referring to specious adaptation but the kind of mutations that would cause a water living organism to change into one that can breath terrestrially, as an example.
Let's use examples to flesh this out. An aquatic organism mutates to enable terrestrial breathing... if this organism mated with another aquatic organism, would the offspring receive that mutation, thereby encoding it into the DNA?
The only evidence I could find of observable mutation recurring is in genetic defects that cause regression of the species... genetic defects. Affirming the 2nd law of thermal dynamics.
What mechanism, in your understanding, all of a sudden caused the inability of all the different kinds of the earth to not be able to procreate successfully. If they are but one mutation from another kind, then procreation would, at least in some instances, be possible... but this is not so.
There is zero evidence in nature or in the fossil record of one genus, family, order, class, phylum or kingdom ever mutating into another. Without this evidence, all you are left with is adaptation within a species... hardly evolution of a creative account.