To be one for whom Christ died, do you have to be elect?

***First, to explain where I am coming from with this question.*** I believe that Jesus prayed "not for the world" "but for them which you have given me" John 17:9,20. Then Romans 8:28-30 shows that those who love God are “called according to his purpose”, being predestined for conformity to the image of his Son. That’s the essence, but by no means the full explanation! I’m not here to explain my beliefs, but to ask questions based on them. ***Second, to specify what I mean by “elect”*** – basically, it means chosen – chosen by God. And chosen for the purpose of becoming conformed to the likeness of the Son of God. ***Third, what this question seeks to dig into*** - the reason why some people never believe in Jesus Christ as the Saviour of lost, repentant sinners. Consider what Jesus did NOT say in John 10:24-30 – He did NOT say, “You are not my sheep because you do not believe”. He said: > “I told you [that I am the Christ], and ye believed not… But ye > believe not because ye are not of my sheep, as I said unto you, ‘My > sheep hear my voice, and I know them, and they follow me, and I give > unto them eternal life” etc. John 10:2-30, K.J.V. extracts – please > read the entire section. Does this mean, then, that to be saved, a person has to be one of Christ’s sheep, and that all of Christ’s sheep are elect – chosen to be Christ’s sheep? Is it for those ones only that Christ died? Does this mean that some will never believe because they were never Christ’s sheep? Someone on this site once said, ***“You don't have to be Calvinist to be one for whom Christ died, but you do have to be elect!”*** That is what has inspired this question (but I don't want anyone sounding off about Calvinism, which is why I have deliberately avoided using that as a Tag).