You do not have to do anything permanent. Leave the door open, but make it clear that it is he that has to walk through it.
There is no reason that you should have to appear as anyone other than yourself. If your father imposes a condition that you cannot appear as yourself in his presence, then you cannot appear at all in his presence. If he changes that condition, then you can. Make sure he knows that it is his choice to make.
It is sad when relatives do not accept you. But your first responsibility is to be true to yourself. You need to do this for your own survival.