Indeed, Islam orders us to be kind and loyal to non-Muslim parents, let alone Muslim ones. Referring to this, Allah Almighty says: (Thy Lord has decreed, that you worship none save Him, and (that you show) kindness to parents. If one of them or both of them attain old age
with thee, say not ‘Fie’ unto them nor repulse them, but speak unto them a gracious word.) (Al-Isra’ 17: 23). However, favoring parents and being dutiful to them is not allowed if such favoring and that obedience involve disobedience to Allah.
Dr. Muzammil H. Siddiqi, current President of the Fiqh Council of North America, states: There is nothing wrong, as far as Islam is concerned, in telling your parents that whatever she is doing is wrong. The wrong is wrong. It does not make any difference whether a child does it or a parent.
One has to obey one’s parent if what they say is not against the teachings of Allah and His Messenger. You should treat them well and be nice and respectful to them, but you should tell them very politely that you obey Allah and His Messenger first and then you obey them.
If there is any conflict between their demands and Allah’s Orders and His Messenger, then the priority goes to Allah and the Messenger.
Lastly, you should pray for your parents. Ask Allah to guide them and keep you strong in your obedience to Allah. Take them to the nearby Islamic center and let them hear some good words from the Imam or teachers.