I think it is interesting to note (my facts may be a year or two old now) that a little less than half of doctors in the US even belong to the AMA. I think this is reflective of some of their political/business moves the past several years. And please remember, all doctors are not scheming to take your guns away. I know I'm sure not.
In a way, I can see the point that the AMA and APA is trying to make. Firearms in the home are a modifiable risk factor, much like smoking, alcohol, drugs, unprotected sex, etc. However, I would question whether these docs that are so interested in firearms and firearm safety are really doing everything they can to counsel patients and parents about these other risk factors (especially since automobile accidents kill far more kids than do guns.)
Enough rambling, just some thoughts.