Is it permissible to give the inheritance and rights of a deceased Muslim to his non-Muslim wife and daughter?

The deceased's daughter is considered Muslim as long as her father died a Muslim, because a child follows the better of their parents in religion. The deceased's estate transfers to his Muslim heirs. His non-Muslim wife does not inherit from him unless she had a debt owed to her by him and can prove it. The money should be paid to the Sharia court to examine the situation of the heirs and appoint a guardian for the daughter, as a non-Muslim mother has no guardianship over a Muslim.