What should a committed wife do with an atheist husband who refuses to pray, insults religion, is stingy and abusive towards her and her children, and shows pictures of women's private parts to his family, while her family refuses her divorce, insisting on her return to the marital home?

If your husband completely abandons prayer and utters blasphemous phrases, it is not permissible for you to remain with him. Your family does not have the right to force you to return to him. If he does not repent, then it is obligatory for you to separate from him. If your family cannot be convinced, then take your case to the judiciary to separate you.