Yes, I would too.
I used to live with a friend who has an HIV+ daughter. This friend also has other HIV- children of her own plus numerous foster children in her care. Honestly, we never really worried about transmitting HIV to any of the other children- the risk is just so miniscule. After all, toddlers aren't likely to be sharing needles or having sex. The main concern was protecting the child with HIV from picking up illnesses from other kids.
That being said, I don't think anyone here is speaking out of hatred. Definately fear and maybe a poor choice of wording, but certainly not hatred.