Can a father's remarriage prevent his stepmother from moving into the household registration?

You can make an agreement in advance or deal with it according to your father's wishes. If not, it must be handled in accordance with the law, that is, in accordance with legal inheritance. You and your stepmother have equal inheritance rights. But it must be emphasized that your stepmother does not enjoy half of the property rights, and then she will inherit the other half of your father's inheritance equally with you.