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Evolution posits its truth in perceived randomness.
Creationists posits its truth in God.
You cannot believe that God randomnly creates things and that is why the two are inconsistent.

If that is how you are defining creationism and evolution then I am a creationist definitely. However, I think it perfectly possible that God used a series of mutations to move from simple creatures to more complex ones, and finally to the human body (which He infused with a soul).

Allow me to provide an analogy which may prove pertinent. I presume that you believe that every single human being is a creation of God; furthermore I presume that you acknowledge that humans are the natural by-product of the fusion of male and females gametes. God can and does use natural processes in His on-going work of creation. You and I are both examples of that in our immediate existences; it is also perfectly possible that you and I (as part of the human race) are examples of it in his greater creation of humanity.

However, I think it perfectly possible that God used a series of mutations to move from simple creatures to more complex ones, and finally to the human body (which He infused with a soul).

Absolutely. Far be it from me to decide how God is to create. But that's not really the problem with evolution as a theory.

Either its occurance is a product of random mutations or it is caused by God. You cannot believe in the God of classical theism and believe that evolution is a "random" unguided process resulting from mutations because to be random is just the absence of sufficient predictability. You cannot believe in an omnipotent, omniscient creator-God that cannot predict the progress of His own creation.

The only alternative for a Theist is to believe that perceived evolution is an intentional guided process. But guided by whom? God of course. Well, if God is the cause of evolution, to what degree can you understand the process without supposing to understand the will of God? Furthermore, as all scientific theories are dependent upon future predictability in order to be viable, on what grounds can you make predictions about future creations of God?

Just a few thoughts. You are right that the two ideas are not mutually exclusive, but when used as a scientific theory in the context of Theism, there are a few problems.