Anang, KD, and the Kids...
KD in one of her more photogenic moments (It's not like I could do a KD post without a provocative shot now, is it?)
Anang has spoken out about why he has custody of the children. In essence, and at least my understanding of it, he has custody because he is leader of the family.
The rationale is that as leader of the family if he remarries then any future wife must understand that he comes as a unit with his kids. The prospective new wife either accepts this or she does not. Whereas, and in contrast, if Krisdayanti marries again then it will be her new husband that is leader of the family and there is no guarantee he will accept Krisdayanti's kids as his own.
Therefore, the custody of the children has been assumed by their father.
On a side note, it seems that Anang is going to insist that Krisdayanti does not sing his songs anymore. However, he intends to stay on as the manager of the Tiga Diva (3 Divas - Krisdayanti, Ruth Sahanaya, and Titi DJ).