Quite the opposite, actually. My dad is quite liberal, just lazy. My mom is religious with some conservative values, but at the same time, she hasn’t voted for a conservative in decades. I was raised liberally and had a great childhood with more freedom that usual. My parents are traditional when it comes to gender roles. Other than that, they let us do what we wanted. There was nothing conservative about our household at all, except traditional gender roles.
Thinking about my entire family, I can count on one hand the number of family members I have that are conservatives and actually adhere to conservatism. Two.