The case for infant baptism:
"People were also bringing babies to Jesus to have him touch them . When the disciples saw this, they rebuked them. But Jesus called the children to him and said, 'Let the little children come to me, and do not hinder them, for the kingdom of God belongs to such as these. I tell you the truth, anyone who will not receive the kingdom of God like a little child will never enter it.'" Luke 18:15-17
If we are not to baptize infants, I ask you why does Jesus specifically mention that people were bringing "babies to Jesus to have him touch them"? Why were they having him touch them if they could not benefit from it? If this was not intended by God to be an indication of how we are to act in bringing our children to God, then this passage is nothing but a meaningless story; it is then merely a warm sentiment that makes you feel warm and fuzzy inside. Well I am here to tell you that Jesus meant what he said when he stated plainly that "anyone who will not receive the kingdom of God like a little child will never enter it." So then, many people's beliefs will be turned upside down, not merely amended, because not only does Jesus include babies in with the believers, but he sets them apart as the epitome of Christian faith.
"Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you." Matthew 28:19-20a
While this passage does not explicitly say, "Go and baptize infants," it just as clearly does not say, "Go and baptized only adults, teenagers, and very mature third graders." Jesus speaks quite plainly here, telling his disciples to go out and bring all people to faith through baptism.
"But if anyone causes one of these little ones who believe in me to sin, it would be better for him to have a large millstone hung around his neck and to be drowned in the depths of the sea." Matthew 18:6
This passage states that there are "little ones who believe" in Jesus. It may be argued that Jesus was indeed talking about children, but children of perhaps six or seven years of age. When looking at the English translation of this passage, that argument could be convincing; when the passage is re-examined in the original Greek text however, the prior argument loses all ground. The Greek phrase in this verse for "little ones" clearly indicates a newborn infant nursing at his mother's breast. I've never seen a six-year-old do that. This is a perfect example of why it is vitally important to refer back to the original languages in which the Bible was written when a doctrinal question such as this arises.
"In the same way your Father in heaven is not willing that any of these little ones should be lost." Matthew 18:14
This passage is not only a proof text for infant baptism, but is also a clear reminder of the reality of original sin. It acknowledges that babies can in fact "be lost." It is not, however, the preference of God for this to happen. Instead, he warns us against allowing it to happen by denying babies the right to become believers in Christ.
"From the lips of children and infants you have ordained praise because of your enemies, to silence the foe and the avenger." Psalm 8:2
Here the Psalmist says that infants praise God. No one can utter one word, thought, or feeling of praise to God without faith that comes only from the Holy Spirit, which we learn from Scripture. The only way an infant can receive such faith is through baptism, since they are not yet old enough to comprehend the concept of God. Then again, that arouses the idea that anyone can ever comprehend the concept of God, even with age. In fact, I would go so far as to say that infants, in their ignorance and contentment to be so, have a far stronger faith than many adult "mature" Christians. After all, Jesus did say that anyone who does not receive the kingdom of God like a little child will never enter it.
"At that time Jesus said, 'I praise you, Father, Lord of heaven and earth, because you have hidden these things from the wise and learned, and revealed them to little children.' " Matthew 11:25
Again, these are words straight from the lips of Jesus that testify to the ability of babies to have faith in Him, and which show God's power to reveal his will to them.
"Train a child in the way he should go, and when he is old he will not turn from it." Proverbs 22:6
God realizes that it is very difficult for a person to become a Christian after he is grown and set in his ways. This then is his commandment to parents, that they should begin the instruction of children in the ways of God from the very beginning of their lives, so that it becomes not only part of who they are, but quite literally who they are.
Sorry, the bible your friend used is incorrect.
Matthew 19:13
¶Then were there brought unto him little children, that he should put his hands on them, and pray: and the disciples rebuked them.
14 But Jesus said, Suffer little children, and forbid them not, to come unto me: for of such is the kingdom of heaven.
15 And he laid his hands on them, and departed thence.
Notice there is no mention of baptism, and infants are not mentioned, but little children.
Joseph was called a little child when he was 16, Solomon called him self a liitle child when he took the throne.
So little children does not mean infants.