I don't view the finite and the infinite as a basic division of nature, but merely a thought construct. The finite we can handle in our logic. The logic of the infinite seems to involve abstraction, that is, removing all content from the form.
No, I don't either, especially not before we distinguish among several kinds of infinities. But this pushes us to the long-standing distinction between ens rationis and ens reale
I won't commit the fallacy in any ontological argument which jumps from our concepts to reality. This is the very mistake that scientism and theological dogmatism makes. Their A-is-A chant makes A stands for everything. But epistemology is only one aspect of the universe. Therefore all concepts are adequations.