let me try:
by more family values i mean: value family more. that implies better financial support and less taxes for having children, parental leave, counseling and other measures that help parents stay together. but also raising the image of being a parent in society in general.
religious conservatism refers to older family values where the woman submits to man among other things as is mentioned in other comments in this subthread.
equality between men and women means equal value and station. a lot has improved in that area, but it's not quite there yet. we also need to learn to respect each other equally, especially in a relationship. equal value and station doesn't just mean equal rights or equal pay for the same work, but also equal importance of their contribution, their wishes and their needs, regardless of who is doing what in a family.
the last claim that religions conservatism drives divorces, again is supported by other comments