Some people were just not raised with wearing hijabs. That doesn't mean they're crazy liberals or anything. Same vice-versa, A lot of hijabis only wore hijabs because they were taught to wear it and will probably remove it when they marry and move in with you.Naah has to be hijab (shariah) minimum, how can you expect her to give you your rights, if shes not fulfilling her right to Allah?
Wearing or not wearing hijab shows little about someone's edaab and dhaqan. Only their actions and words do really.