It may be a little late for you, Torben, but I hope others may find it useful.
I was raised in a family that was different in many ways from the others, and was especially exposed to huge peer pressure, from both same-age friends but also from adults who criticized our way of life. But all my life, including childhood, I was happy with my parents' decisions, which I consider smart. (We did not have a TV, did not spend time with neighbors, did not went out in all the school trips, etc. Reasons were plenty, among them a really bad neighborhood)
Here are some of the things that our parents specifically focused on:
- Build a strong family identity
We knew we were special, and there were many nice things we did, and the others didn't. Sporting, camping, adventures, crafting, books, bed-time stories, and many others. We always had something to talk about, to be proud about
- Give strong reasons on why we do/do not do things
When told to write a page-long story based on the latest TV show as homework (happened) we were proud to explain all the reasons why not spend your time in front of the TV. When a teacher without much regard for privacy, personal choice or child protection laws offered to help girls find a nice boyfriend (for explicit sexual matters), I stood up and told her that this is completely wrong and crazy. But...
- Be sensible about other families' choices
You must not criticize what other families do, except when it's completely wrong (stealing, encouraging to violence, etc.) Make them understand that there are many ways to do things, "our family does this way, this is our choice, because we think it's right for us"
- Offer another environment where children can befriend like-minded guys and girls.
It offers them the much-needed emotional comfort that they are not alone, not crazy, not handicapped. Then, they will have the opportunity to socialize and make friends in a safe place. For us it was a great church. For you it may be a social club, a relative or colleague with same-age kids, a crafts club, etc.
No time to cry about all the missed cartoons. Give them tools, scissors and paper, books, bicycles.
- Help them see the effects of your decisions
Help them realize, in measurable ways, that your decisions are good. Not all of them will be obvious, but usually a child that spends less than half-an-hour on TV will perform better in school than his all-TV mates. Without being critical or overly-proud, show them the fact and the result.
- Make sure they see other adults share your opinion
If a respected teacher tells the entire class that some violent cartoons are bad, or praises those who were able to read more books in the holiday, it gives your child an leg up in the fight for respect among his peers. I still remember the day when the math teacher told the class that the reason I am so good in math is that I do not have the "stupidity box" in my house.
There is nothing like a father spending two hours fixing the car with his 10-years-old. Use the time to teach them practical skills, like cutting wood or using complex tools, but also make it an opportunity for them to share with you their troubles. It is much easier to talk when you two work together. It creates a sense of belonging that offers them stability in turbulent times.
- "Less is more" is not true
It is much easier if your child is not alone. Two siblings is better, and three have so much more fun! It may sound funny or strange, it may be impractical, but generally speaking, a good investment in your child is another child.