I also read the Bible - the teachings of the Vedas and much of the essence of the Bible, especially the teachings of Jesus Christ, are extremely similar, and indeed, overlapping.
If you read much about Wicca with an open mind, you will see it is a hodge podge of this and that. If pagans or Wiccans want to be authentic, they should be authentic. But they aren't, it's faddish and done primarily for side benefits (such as the obligatory sexual license) or for effect, a kind of adolescent rebellion. I am not saying some may not be sincere in their search for - well, truth, I guess - but sincere people who do not do their homework are misled in the millions, throughout history.
Same for the Bible.
If pagans or Wiccans want to be authentic, they should be authentic. But they aren't, it's faddish and done primarily for side benefits (such as the obligatory sexual license) or for effect, a kind of adolescent rebellion.
I know a lot of Wiccans with several variations of practice, and you haven't described any of them.