Why I'm not an Atheist and believe in what I believe.

[Panglossian]

Logic is basically reasoning via the evaluation of certain facts to reach a decisive conclusion. It is not knowledge itself, but rather a tool for aquiring it.
The concept was established by Aristotle; logic was invented by humans. Therefore, logically (see what I did there? ), we can deduce it to be impossible for us to be born with the ability to form analytical expositions.
Hope this answers your question

I disagree with your analysis. Logic is both knowledge and a tool and we have it built in us. We just learn to process it and apply it later.

Also, it's all intuitive and properly basic. Yet we know for certainty it is correct.

Whether it was acquired or not, it's intuitive knowledge.

It isn't strictly my analysis. I pretty much gave you the definition. It's a different mindset designed to overcome certain obstacles i.e. problem solving.
I agree with you that we all have the capacity to achieve logical thought, and we are taught to utilise said capacity as we get older, but I simply do not see how the knowledge of how analytical thought works is instilled in our brains from birth.
Even if logic was an inherent birthright of all humans, it still isn't an argument for the existence of a divine creator.
I have no problem accepting your beliefs, infact I find Deism rather refreshing, however I do think that this kind of shallow reasoning is flawed...