I don't think it's careless. I am not a careless parent. I have taken great care to choose family-suitable dogs, socialize them well, introduce them to my child carefully, train them how to behave around children and watch them when they are with my child. I personally would not have a dog with aggression issues in a home with children as I believe that is unsafe.
This is called managed risk and it is what all of us do every day of our lives. If you cannot face the idea of managed risk, I wonder how you will ever let your child walk down a street without a leash or walk around your house knowing there is a stove in the kitchen and knives in the drawer. It is exactly the same thing.
My children will certainly feel safe in my home with my dogs, and will be safer in general for growing up knowing how to behave around dogs. It is sad to say that a good number of dog attacks are caused by children having no idea how to behave around a dog.