*I'm surprised - not that often, thankfully - by people like your friend who think because they find a newborn interesting, so should you. It's a weird sort of entitlement, especially if it's their child.
Unattractive, egoist, and a bit dull, inevitably comes from people who wail 'Now we've had the children no one invites us out'. You don't say.*
*YANBU
I'd do the pleasantries, birthdays etc, but when I meet up with my friends. It's my friends I want to see, not a load of DC.
I have kids Cherry but I don't get it! Care to explain? Or maybe you could just accept that some more interesting people have a life and interests beyond their children.*
*I don't think this is remotely true. I don't see my children as extensions of myself, they are their own people. I don't see why a good friend to me would have to be interested in my children. Lots of people don't get or like children, if they don't have any, why would they want to hang out with mine?
Its this attitude that drives childfree friends away, having expectations of them that are unrealistic*
*I'm not a baby person. Just because my friends have children doesn't mean I should or need to be overly interested in them.
As much as some of you mothers think your child is an extension of you, it isn't. He / She is their own person and it's ok for people to not be interested.
I still love / like my friends who've had children and will meet up with them and their children but I do like to meet them without their kids as well. Because I like them.
Saying they're not real friends because they dont want to be around your kid 24/7 or don't want your child to come to every social gathering is ridiculous. And TBH if you think your kids should always be attached to your hip, I bet your friends, even ones with kids of their own - are like thankgod when they or you decide to stop making the effort to meet up.
I've found when I go out with my friends and they bring their child / children with them that 80/90% of the conversation revolves around their child.
Hearing the same topic over and over ... especially when you're already updated on everything via group messages/facebook gets abit boring/tiring.*
All of this. Some of the replies on this thread are cringeingly entitled and self- absorbed!
OP- I would and have felt exactly the same as you. I'm just not a child person, I feign a basic, polite interest, buy presents etc but that's where it ends. That's where it'll always end. I wouldn't expect or want anymore from any of my friends either.
People need to understand that their bloody children aren't as interesting or important to other people as they are to them.
And to the poster who said their friend recieved a picture of their niece/ nephew as a present, I've had that too but from one of my friend's of their DC. TBH I was a bit 
because I now feel compelled to display it in my living room and in all honesty I don't really want a picture of someone else's child (aside from niece and nephews) in my living room particularly. I wouldn't dream of doing the same. Just utter madness.