I am not satisfied with the Random Mutation theory - it seems highly unlikely that an animal would randomly mutate a pair of wings.. Perhaps someone can show me or provide links.
Very glad you brought that up.
Wings are a great place to start since there have been so many, many different solutions both in form and function to the issue of flying. In fact, IMHO, flight and wings is one of the strongest supports to show that the TOE is correct.
If you look around, there are critters like the flying squirrel that are built similar to a bat, but that are more gliders. When you get to the anatomy, the bats wing, just as with a bird, are simply modfied forelimbs. So it seems they started out as forelimbs and gradually changed their function over millions of years to true wings. It's very possible that the fuction did not begin as "Let's create a wing" but to serve some other purpose, sexual display, temperature regulation or protection like layered armour.
The function
flight actually came about as an accidental offshoot of some other function. It was most likely one of those "Here hold my beer while I show you something" moments.
But what about insects? Again, insect wings are completely unlike those of birds or mammals in form and mechanism. How might they have come about?
Here is a great article by S. J. Gould on just that subject. Hopefully it will answer your question.
Aslan is not a Tame Lion