Darwinian Evolution is - to put it bluntly - mathematically impossible. From a probability perspective, it's akin to eternally flipping a coin that eternally comes up "heads." To account for this problem, strict evolutionists keep tacking more and more zeros ("billions and billions of years") onto the evolutionary process to hopefully account for the time they think is needed for these changes (mutations) to occur.
So, yes...That would classify my view, although the description you provide of my perspective is somewhat simplistic.
Additionally, Darwinian Evolution cannot account for the irreducible complexity of highly complex organ systems.
You clearly are not taking into account natural selection.
I had a nice little demonstration. I had a computer randomly generate a sequence of 70 symbols with 90 possibilities in each place.
If you compare that to a 'target' string of 70 symbols, the probability you will get the correct sequence is vanishingly small. it would take longer than the age of the universe to randomly find such a string, even if you try millions of times per second.
BUT, if you generate 50 sequences and *select* the best 5, then randomly change *those*, and repeat, you will get to the target string is a few thousand 'generations'.
Too many people criticize evolution by looking only at the mutation side of things. But it is mutation *with natural selection* that is the real power of evolution. That is what allows near optimal solutions to problems involving survival.