Firstly, not all Christian churches have exactly the same beliefs, but in my church we don't believe that the division of those who are taken and those who are not is between 'believers' and 'non-believers' but rather between 'righteous' and 'unrighteous'. Some non-believers are very righteous people and some believers fail to live by their beliefs or don't even try to. As to whether the children of unrighteous people will be taken abruptly from their parents, I suppose the straight answer would be 'yes'. But if you're imagining terrified children being dragged away from their parents, I think you mistake the situation. The impression given in the scriptures is that this event will be sudden and immediate with no time for a realisation of what is occurring. The only description of weeping and frustration comes in the later description of the unrighteous after they are left behind. Matthew 24:40 "Then shall two be in the field; the one shall be taken, and the other left. 41 Two women shall be grinding at the mill; the one shall be taken, and the other left. 42 ¶ Watch therefore: for ye know not what hour your Lord doth come. 43 But know this, that if the goodman of the house had known in what watch the thief would come, he would have watched, and would not have suffered his house to be broken up. 44 Therefore be ye also ready: for in such an hour as ye think not the Son of man cometh." The last three verses make clear that God has no desire to take children from their parents. Compare this to a situation that happens sometimes in children's lives now: if a parent becomes a criminal and goes to jail, their children are separated from them. If the child feels sad at the loss of their parent, who caused that sadness...the welfare authorities, or the parent? The only logical answer is the parent. The prophecy quoted above encourages parents to not become complacent in doing the right thing. Good (and that doesn't necessarily mean perfect) people, good parents, have nothing to fear from this event, because their houses (families) will not "be broken up" and their children will have no cause to be seperated from them. God loves our children even more than we do. If children are taken that day from unrighteous parents left behind, I have no doubt whatsoever that God will comfort these children and give them understanding of what has occurred.

yes, if those children have not reached the age to decide for themselves, which varies, they will be taken.

Some of Evangelicals believe it and some not. They have a great disagreement on eschatological subjects (like other subjects).

Margret McDonald "invented" the rapture theory in 1830. True chrisians do not believe in the rapture. The one taken is taken to destruction.

There is NO SCRIPTURE in the Bible that suggests unsaved people of ANY AGE will be going to Heaven in the Rapture! I would like to see anyone produce a scripture verse that says otherwise. 1Thess 4:16 says, "The dead IN CHRIST shall rise..."

There are none righteous. (Romans 3:10) Only those who have trusted Christ will be taken in the rapture. The event in Matthew is not the rapture, but is the judgement of the nations at the end of the tribulation. The rapture was a mystery revealed to Paul and given to us in 1 Thess. 4 and 1 Cor. 15. No one invented this "catching away" of living and "sleeping" (dead) saints. It is a revealed truth. The church had very distorted eschatology for reasons that affected many other aspects of theology. The idea of replacing Israel gave rise to a christian priesthood, sacrifice (in the mass), and altars etc. that have absolutely no place in christian doctrine and life. The Bible gives no clear word on the children of believers or unbelievers at the rapture. We can trust in the goodness and wisdom of God who loves children more than any of us, but who measures sin by His own holiness.