All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
It is good that the relationship between you and your wife is as best as it can be and that you are both happy. Also, it is good that you love your parents. You should endeavor to be kind and dutiful to them and not be neglectful about their rights even though they might be neglectful towards you or that they mistreat your wife; being kind and dutiful to them is an obligation in all cases.
Hence, you should fulfill the rights of your parents on one hand, and the rights of your wife on the other hand. For more benefit, please refer to Fataawa 82254 and 88695.
However, if you can let your wife reside with you, then this might be better and it will solve the problem once and for all. In case she has to go back to your country, then she has the right to a separate accommodation where she may be safe from any harm. She is not obliged to reside with your parents unless she agrees. If she agrees, then she should not condition that your father contacts her. Instead, you may contact him and inform him that she will return home, and by doing so, you would avoid embarrassing both of them. For more benefit on the right of the wife to a separate accommodation, please refer to Fatwa 84608.
Finally, it should be noted that if this house is yours, then your father has no right to drive your wife out of it or prevent her from entering it.
Allaah Knows best.