Is it permissible for a husband to take his two young daughters to travel and visit his family and to go out with his older children and his first wife, without the presence of the second wife who fears for her daughters from their influence over them, knowing that they prevent her from attending any occasion where his wife and children are present?

The custody of young children is a joint right of both spouses as long as the marital bond exists. The husband does not have the right to take young children and travel with them to visit his family without the wife's consent, especially if she fears harm befalling them. It is advised not to prevent the husband from traveling with the children unless there is definite harm to them.