Hildy Saizow, president of Arizonans for Gun Safety, said relaxation of gun-free zones at schools and other places would be "really extremist legislation."
Instead, now is the time to support national legislation that should include toughening requirements for background checks of gun purchasers, Saizow said.
Alan Korwin, a Scottsdale author and publisher of books on gun laws, said the media is whipping public sentiment into a "mob mentality" in favor of new gun restrictions after the Connecticut shootings.
That ignores the benefits of allowing guns where they're not now allowed, he said.
Gun-free zones "enable criminals and infringe on the rights and abilities of Americans to protect themselves and their children," Korwin said. "We trust teachers with our children. Certainly they should be qualified" to have guns at schools.
An Arizona legislator who sponsored a bill after the 2011 Tucson shooting to prohibit extended magazines that hold more than 10 bullets said it would be dangerous to allow guns at schools.
"I do not see anything good of a massive arms race on our college campuses or, God forbid, on our elementary schools," said Rep. Steve Farley. "There's no good that's going to come of that."
Farley, a Tucson Democrat who becomes a state senator in January, said he won't re-introduce a new version of his bill in 2013. Such restrictions are best handled by Washington to avoid a patchwork of state laws, he said.
Farley said he proposed the 2011 bill because Tucson shooter Jared Loughner fired 30 shots from a handgun with an extended magazine. Six people were killed and 13 injured in the attack, and Farley said there would have been less carnage if Loughner had to reload sooner.
Farley's bill died after not getting a hearing from a House committee.
Farley also said he wants the Legislature to consider providing adequate funding for programs to identify and treat mentally ill people and to protect children from physical abuse so they don't develop psychological problems.