Fool! Along with the Intelligent Designertm there is the Cosmic Clerktm. It is the Clerk's function to keep track of how many times in the past your ancestral line has undergone mutations. This is a purely mechanical task, because the Clerk merely has to follow the Designer around and keep accurate records. Even the primitive, naturalistic mind should be able to understand.
And when some creature's ancestors have used up their alloted number of mutations, no more are permitted. It's really very simple. Why do you Satanic eeeevooo-loouuu-shunists have so much trouble with this concept? When the designed-in allowance of mutations is used up, that's it. Radiation has no effect. Chemicals in the environment have no effect. Lateral transfers from a virus have no effect. The creature's "kind" is fixed. Forever.
Is this the same CPA-in-the-Sky who adjusts the number of heads and tails to make the result agree with the Law of Large Numbers?