It bothers you to get a Christmas card with someone's kid on it? Seriously? I have 3 kids and sometimes send out pics, sometimes not (and usually depending on the audience) but it would never offend me if someone sent me a card with their dog or boat or even their favorite potted plant on it. I did work with someone once who gave her coworkers pictures of her kid to put on their desks. That to me was irritating.
It doesn't bother me. I just find it odd that my firends think I care what their kids look like at Christmas. I would just as soon get a nativity scene or something.