I believe infants who die are saved by Christ.
Saved from what?
Mt 1:21 And she shall bring forth a son, and thou shalt call his name JESUS: for he shall save his people from their sins.
1Jo 3:4 Whosoever committeth sin transgresseth also the law: for sin is the transgression of the law.
Jas 4:17 Therefore to him that knoweth to do good, and doeth it not, to him it is sin.
Ro 6:23 For the wages of sin is death;
Sin is an action of the will with knowledge and forethought and consciousness that it is wrong.
We are not in the dark about sin. Here is the progression in a nutshell.
Jas 1:13 Let no man say when he is tempted, I am tempted of God: for God cannot be tempted with evil, neither tempteth he any man:
14 But every man is tempted, when he is drawn away of his own lust, and enticed.
15 Then when lust hath conceived, it bringeth forth sin: and sin, when it is finished, bringeth forth death.
16 Do not err, my beloved brethren.
Here is a marvelous truth. God is not at this present time imputing sin to anyone while we live because of the death burial and resurrection of Jesus Christ. God has been propitiated and reconciled to sinners because Jesus Christ, the perfect sacrifice has substituted himself in our place and the judge has seen the death penalty carried out for us all. Now, the command to every sinner is to be reconciled to God through faith in the person who sacrificed himself for us, Jesus Christ. I have God's word on this and I believe it with all my heart and say "praise God."
2Co 5:18 And all things are of God, who hath reconciled us to himself by Jesus Christ, and hath given to us the ministry of reconciliation;
19 To wit, that God was in Christ, reconciling the world unto himself, not imputing their trespasses unto them; and hath committed unto us the word of reconciliation.
20 Now then we are ambassadors for Christ, as though God did beseech you by us: we pray [you] in Christ’s stead, be ye reconciled to God.
21 For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him.
1 We then, as workers together with him, beseech you also that ye receive not the grace of God in vain.
2 (For he saith, I have heard thee in a time accepted, and in the day of salvation have I succoured thee: behold, now is the accepted time; behold, now is the day of salvation)
Heb 9:26 For then must he often have suffered since the foundation of the world (kosmos = planet): but now once in the end of the world (aion = age = end of the Mosaic law for the Hebrews) hath he appeared to put away sin by the sacrifice of himself.
27 And as it is appointed unto men once to die, but after this the judgment:
Joh 1:29 The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world.
1Jo 2:2 And he is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.
I totally get this. So, the answer is, little children who do not know their right hand from their left need no savior.