I live in an extremely progressive suburb of a blue city in a blue state. If there are people like this anywhere around, then they definitely keep a very low profile.
Otoh, the local park district and at least two of the local dance studios host annual father-daughter dances that are always well subscribed. They usually feature a simple buffet style dinner, an ice cream bar, and DJ. I have good friends whose husbands have taken their daughters to this around age 6-9. It's a nice tradition as far as I can tell and the friends' families who have participated are none the worse for it.
The local community also supports a vast number of opportunities for parents to spend quality time with their children, which depend almost entirely on the time and hard work of volunteers, most of whom are dads ime (probably 60/40 men/women). I am talking about youth soccer and T-ball and baseball or softball leagues run by parents who serve as coaches and administrators, and about parochial school inter-school sports leagues in basketball, cross country, soccer, and volleyball. Also in parochial schools - chess clubs, robotics clubs, spoken work poetry slam clubs, recycling-environmental clubs, science fair and art fair judging and many more, all done in parents' own time and for no remuneration whatsoever, not even a percentage off tuition.
In the public schools the clubs and extra curricular activities are run by teachers who receive a generous stipend for their time and work, and the park district runs a huge number of programmes and operates facilities designed to cater for almost all interests, providing staff and sometimes in collaboration with the local police, working on the assumption that it's better to get to know the teens as public basketball court or ice hockey rink monitors and mentors/ coaches than they might if booking them on delinquency charges.
This is middle class life in America.
While the formal 'dating' and the virginity pledging exist in certain circles a long way from where I am, I think it would be a mistake to assume that outside of those circles there are no concerns among parents (or teachers, or anyone who deals with children and teens) along the lines of gingerbreadsprinkle's post.
I think most parents here would agree with this: young girls shouldn't need to seek male attention from random guys, but that their fathers are there to love, nurture, and protect them. I think a supportive father who is actively engaged in his daughter's life is not a bad thing even if others don't agree with the religious undertones of it. I don't see any reason to be up in arms for discouraging sex amongst teens who may not be mentally mature enough to deal with the emotional ramifications of it. Lots of teen boys (not all) just treat sex like a competition amongst their peers and the girl is left exploited, so I don't begrudge fathers who are protective over their daughters' mental well-being.
I can actually say hand on heart that none of the parents I know - all of whom would be supporters of progressive causes and the majority university educated - would consider the thought of a son or daughter involved in a sexual relationship in their teens a good thing.
And there is always the question of teen pregnancy and the consequences for a mother's future. Yes, people are hugely supportive if a young girl decides to keep the baby. The high school has a creche so secondary education goes on virtually uninterrupted. But the overwhelming majority of the time, university is not part of the future of a teen mother. Certainly not university at 18 or the university she might have attended were it not for the baby.
When people talk of wanting the best for their children here they talk the 'happiness' talk but what they mean is 'not a junkie' and 'heading to university' and 'financially independent upon graduation'.
Ultimately, parents from fundamentalist and university-educated-aspiring-progressive communities are coming to the same conclusion even though approaching it from a different philosophical standpoint.
And I would add, based on observations of my own extended family in Ireland and the UK and the lives of my old schoolmates in Ireland and the UK and US that this is the same conclusion arrived at by parents all over the western world among the educated classes.