You're right. The Lord Jesus Christ died for the elect. But your idea of who and what the elect are is mistaken.
Ephesians 5:22-33 Wives, be subject to your husbands as you are to the Lord. [SUP]23[/SUP] For the husband is the head of the wife just as Christ is the head of the church, the body of which he is the Saviour. [SUP]24[/SUP] Just as the church is subject to Christ, so also wives ought to be, in everything, to their husbands. [SUP]25[/SUP] Husbands, love your wives, just as Christ loved the church and gave himself up for her, [SUP]26[/SUP] in order to make her holy by cleansing her with the washing of water by the word, [SUP]27[/SUP] so as to present the church to himself in splendour, without a spot or wrinkle or anything of the kind--yes, so that she may be holy and without blemish. [SUP]28[/SUP] In the same way, husbands should love their wives as they do their own bodies. He who loves his wife loves himself. [SUP]29[/SUP] For no one ever hates his own body, but he nourishes and tenderly cares for it, just as Christ does for the church, [SUP]30[/SUP] because we are members of his body. [SUP]31[/SUP] 'For this reason a man will leave his father and mother and be joined to his wife, and the two will become one flesh.' [SUP]32[/SUP] This is a great mystery, and I am applying it to Christ and the church. [SUP]33[/SUP] Each of you, however, should love his wife as himself, and a wife should respect her husband.
Christ died for the sins of the whole world.
1 John 2:1-6 My little children, I am writing these things to you so that you may not sin. But if anyone does sin, we have an advocate with the Father, Jesus Christ the righteous; [SUP]2[/SUP] and he is the atoning sacrifice for our sins, and not for ours only but also for the sins of the whole world. [SUP]3[/SUP] Now by this we may be sure that we know him, if we obey his commandments. [SUP]4[/SUP] Whoever says, 'I have come to know him', but does not obey his commandments, is a liar, and in such a person the truth does not exist; [SUP]5[/SUP] but whoever obeys his word, truly in this person the love of God has reached perfection. By this we may be sure that we are in him: [SUP]6[/SUP] whoever says, 'I abide in him', ought to walk just as he walked.
Keep your eyes open, read the holy scriptures with understanding as adults. Stop being children in your level of understanding.