The measure would amend the Arizona Constitution, adding language barring any law that compels individuals to participate in any specific health-care program.

Supporters are touting it as a way to avoid mandates that take effect in 2014 under federal health reform.

Prop. 106, similar to a measure that failed in 2008, will appear on the Nov. 2 general election ballot in Arizona.

 "I support Proposition 106 and have every reason to believe that Arizona voters will overwhelmingly pass this measure," Brewer said in a prepared statement. 

"And, when they do, a clear message will be sent to the president and Congress that this type of overreaching by the federal government will no longer be tolerated."

Brewer says the new federal health reform law, which she calls "ObamaCare," is unconstitutional. She's joined a multistate lawsuit challenging its provisions.

What 106 opponents say:

"It's not surprising that Gov. Brewer is supporting it. But what she's doing by supporting it is saying to the million people in Arizona who have no insurance: 'I don't care about you'," said Arizona Rep. Phil Lopes, a Tucson Democrat.

"If this thing flies like proponents want it to, then Arizonans will be exempt from the benefits of healthcare reform. One of those exemptions would be uninsured people could not go to exchanges and have their premiums subsidized."

Lopes says health reform is not forcing anything on the public — anyone who has insurance may keep it and those who don't will need to go to an exchange and buy it (after 2014).

"If your income is such that you can't afford premiums, then they will be subsidized for you," Lopes said.

Other opponents, including Arizona Rep. Kyrsten Sinema, D-Phoenix, say that federal law trumps state law and that the Proposition will never take effect, even if voters pass it.