Does John 3:16 Teach That Anyone Can Be Saved?

RC Sproul often spoke in defense of the Doctrines of Grace when someone challenged them by quoting John 3:16. Here is one of his responses over the years to that challenge:
By RC Sproul
From "Knowing Scripture"
"The principle of literal interpretation gives us another rule, namely that the Bible in one sense is to be read like any other book. Though the Bible is not like any other book in that it carries with it the authority of divine inspiration, nevertheless, the inspiration of the Holy Spirit over a written text does not turn verbs into nouns or nouns into verbs. No special, secret, arcane, esoteric meaning is poured into a text simply because it’s divinely inspired. Nor is there any such mystical ability we call "Holy Ghost Greek." No, the Bible is to be interpreted according to the ordinary rules of language."
"Closely related to this point is the principle that the implicit must be interpreted by the explicit, rather than the explicit interpreted by the implicit. This particular rule of interpretation is violated constantly. For example, we read in John 3:16 that “whoever believes in him should not perish but have eternal life,” and many of us conclude that since the Bible teaches that anyone who believes shall be saved, it therefore implies that anyone can, without the prior regenerative work of the Holy Spirit, exercise belief. That is, since the call to believe is given to everyone, it implies that everyone has the natural ability to fulfill the call. Yet the same gospel writer has Jesus explaining to us three chapters later that no one can come to Jesus unless it is given to him of the Father (6:65). That is, our moral ability to come to Christ is explicitly and specifically taught to be lacking apart from the sovereign grace of God. Therefore, all of the implications that suggest otherwise must be subsumed under the explicit teaching, rather than forcing the explicit teaching into conformity to implications that we draw from the text."