Your view of God appears to be - pick out some men for salvation and just leave the rest. Promoting such a understanding is troubling enough, but to attempt to preach the Gospel as well remains an astonishment.
If you were to preach the gospel of John 3:14-18 you would necessarily have to put it in context (since that is what you have been doing when those verses are discussed) - that is, you would have to deal with vv.1-13 which you think treats of pre-faith regeneration (the sine qua non of salvation). Of course, if you did so, you would trash the very gospel you preach.
No genuine offer to believe, then no genuine good news...no gospel. Your theology, it would appear, actually comes against the central work of God's Son.
Quite clearly, your definition of the atonement is incorrect. tall73 showed you Lev. 23 which has the atonement made for all the people but which may be rendered without effect if one does not deny oneself. John 3:14-18 is also clear in that provision was made for all.
Christ did not atone per your definition or the elect would be born sinless. They are also deserving of wrath, just like everyone else.