Pole,
I think Rochelle's post is an excellent example of how the inner logic of faith can lead a Christian to avoid apologetics, regardless of any anti-Christian criticism.
Kierkegaard's stance is another. He was aware of early Bible criticism but dismissed it. He just held that both Christianity and existential truth belong to the realm of subjectivity (cf. for instance http://www.quodlibet.net/johnson-truth.shtml).
Back to the NT, I agree there is much implicit and explicit apologetics in it, but I do think that at least some important currents were remarkably free from it, e.g. all the Gnostic-like stuff which appears especially in the Pauline and Johannine literature:
For Jews demand signs and Greeks desire wisdom, but we proclaim Christ crucified, a stumbling block to Jews and foolishness to Gentiles, but to those who are the called, both Jews and Greeks, Christ the power of God and the wisdom of God.
No one can come to me unless drawn by the Father who sent me.That this is hard to reconcile with the "demonstration by miracles etc." is another matter. And that it may also be an irrational form of active persuasion is still another.