Surely you are not postulating directed transformation of one species into another are you? That is the only way that non-random evolution could arise. That would also imply almost a grand plan from the very beginning to achieve successfully a large group of transformations. I think you have not thought this out very thoroughly.
This is a concept creationists have a lot of trouble with for some reason. I will try to break it down. Mutations (the random element here) gives rise to many diverse phenotypes. The selection of those phenotypes (by nature - competition for mates, resources etc.) is NOT random. Successful genes will exapnd and further be improved upon by many,many many millions of rounds of selection. No mysterious intelligent guide required...only survival.