Children never had choices to make when born into an alcoholic family, or in a country in a war torn third world country, and yet they still suffer. That's just sort of how life is. The children suffer based on the mistakes of their parents.
We have limited resources, and we have to decide how to partition these resources.
To enforce the law and to prevent these injustices to happen in the future. How are you causing more injustice? That's sort of like saying "Why spend money to evict squatters in houses they don't own? They have children, and it costs money to evict them."
Those that were born here are citizens, and get the choice like every other citizen - move to be with their families, or stay here alone. The fact that they're children is immaterial.
And as for the children who never had a choice to make...?