YABU.
And you run two risks - one is that your daughter struggles to make friends because she has no example of it, or that she DOES make lots of friends and in not so many years time they become more significant influences in her life than you.
I grew up in a marginally rough area, and my parents often felt like they had nothing in common with other parents at my primary school. They're not snobs, but they are intelligent educated people who dislike small talk - and to be honest, quite a lot of people in the small village i went to primary school in were ignorant, bigoted, and full of inverted snobbery. I had friends, but I was a bit bullied in the final years because our family was seen as 'posh' and their increasing remoteness from the community was part of that.
My parents worked very hard to send me to private school in a better area. Suddenly my friends' parents were successful, white-collar, university educated types who read the same books as my mother. My best friend's family were incredibly open and generous, and I spent a huge amount of time in their house, even going on holiday with them etc. They certainly weren't snobbish - more working-class-made-good types, and would never have looked down on our family for earning less money. Yet my parents never made the effort to be social with them, and I found it quite hurtful. I'm sure they found it damn rude. As a result, I saw that their sociable life seemed quite frankly a lot more fun that my anti-social parents, spent ever-increasing amounts of time with them, and I have carried a lot of their values into adulthood.
I know that's a bit long, but might be of interest.