Jesus Teaches Sovereign Election

I will be frank: I do not understand Arminians. They claim to believe the Bible, and yet claim that the doctrines of grace are not found there. That claim is in spite of the statement of those doctrines in virtually every book of the Bible, and by every major figure in the Bible.

Consider the words of Jesus in Matthew 11:27: "All things have been handed over to Me by the Father, and no one knows the Father except the Son and anyone to whom the Son chooses to reveal Him."

This is not obscure. Jesus, God the Son, claims that the Father has given Him all authority over the creation and its residents (compare Matthew 28:18-20). He explicitly claims the authority to decide to whom to reveal the Father, thus denying Him to all others.

How is that not sovereign election? How does an Arminian read those words, and yet continue to claim that the real truth is that it is "anyone who chooses to have Him revealed"?