Phoenix ? Gov. Jan Brewer ignored criticism from President Barack Obama on Friday and signed into law a bill supporters said would take handcuffs off police in dealing with illegal immigration in Arizona, the nation’s busiest gateway for human and drug smuggling from Mexico.

With hundreds of protesters outside the state Capitol shouting that the bill would lead to civil rights abuses, Brewer said critics were “overreacting” and that she wouldn’t tolerate racial profiling.

Gov. Jan Brewer talks Friday about signing immigration bill SB1070 into law in Phoenix, with various Arizona law enforcement officials standing in the background. The sweeping measure would make it a crime under state law to be in the country illegally, and would require local law enforcement to question people about their immigration status if there is reason to suspect they are in the country illegally.

“We in Arizona have been more than patient waiting for Washington to act,” Brewer said. “But decades of inaction and misguided policy have created a dangerous and unacceptable situation.”

Earlier Friday, Obama called the Arizona bill “misguided” and instructed the Justice Department to examine it to see if it’s legal. He also said the federal government must enact immigration reform at the national level — or leave the door open to “irresponsibility by others.”

“That includes, for example, the recent efforts in Arizona, which threaten to undermine basic notions of fairness that we cherish as Americans, as well as the trust between police and their communities that is so crucial to keeping us safe,” he said.

The legislation, sent to the Republican governor by the GOP-led Legislature, makes it a crime to be in the country illegally. It also requires local police officers to question people about their immigration status if there is reason to suspect they are illegal immigrants; allows lawsuits against government agencies that hinder enforcement of immigration laws; and makes it illegal to hire illegal immigrants for day labor or knowingly transport them.

The law sends “a clear message that Arizona is unfriendly to undocumented aliens,” said Peter Spiro, a Temple University law professor and author of the book “Beyond Citizenship: American Identity After Globalization.”

Brewer signed the bill in a state auditorium about a mile from the Capitol complex where some 2,000 demonstrators booed when county Supervisor Mary Rose Wilcox announced that “the governor did not listen to our prayers.”

“It’s going to change our lives,” said Emilio Almodovar, a 13-year-old American citizen from Phoenix. “We can’t walk to school any more. We can’t be in the streets anymore without the pigs thinking we’re illegal immigrants.”

Protesters gathered in Miami on Friday evening at the Freedom Tower, where thousands of Cuban refugees were processed after fleeing the communist revolution.

The Mexican American Legal Defense and Education Fund said it plans a legal challenge, arguing it “launches Arizona into a spiral of pervasive fear, community distrust, increased crime and costly litigation, with nationwide repercussions.”

Mexican Foreign Secretary Patricia Espinosa said Friday that the passage of the law will affect relations between Mexico and Arizona and “it will force Mexico to consider whether the cooperation agreements that have been developed with Arizona are viable and useful.”

Guatemalan Vice President Rafael Estrada said the law “is a step back for those migrants who have fought” for their rights. Guatemala’s Foreign Relations Department decried the measure in a statement saying “it threatens basic notions of justice.”

The law will take effect in late July or early August, and Brewer ordered the state’s law enforcement licensing agency to develop a training course on how to implement it without violating civil rights.

“We must enforce the law evenly, and without regard to skin color, accent, or social status,” she said. “We must prove the alarmists and the cynics wrong.”