Some American Muslims feel they are once again on the defensive following presidential candidate Ted Cruz's suggestion that Muslim-dominated neighbourhoods should be subject to increased surveillance in the wake of the deadly attacks in Brussels claimed by the Islamic State militant group.

"We're targeted even if it's not our fault," said Omar Ghanim, 23, eating Lebanese pizza Tuesday at a suburban strip mall in Orange County's Little Arabia neighbourhood, just miles from Disneyland in California.

Ghanim said Islamic State doesn't represent his faith.

"They don't follow the Islamic rules or anything Islam," he said. "We're a peaceful people — we're not violent."

Campaign 2016 Brussels

Max Chashku, a naturalized U.S. citizen who came to Orange County, Calif., from Syria 20 years ago, eats at Forn Al Hala restaurant in Orange County's Little Arabia in Anaheim on Tuesday. He was reacting to Senator Ted Cruz's call for surveillance of U.S. Muslims. (Gillian Flaccus/Associated Press)

Cruz said Tuesday that law enforcement should be empowered to "patrol and secure Muslim neighbourhoods before they become radicalized."

Echoing earlier statements from rival Donald Trump, Cruz also said the U.S. should stop the flow of refugees from countries where the Islamic State in Iraq and Syria (ISIS) militant group has a significant presence.

ISIS claimed responsibility for the attacks at the Brussels airport and a subway station that killed dozens Tuesday and wounded many more.

Muslims across the county and groups including the Council on American-Islamic Relations and the Anti-Defamation League condemned Cruz's statements, but many said his reaction was nothing new.

Mainstream Americans

Advocacy groups have said for months that the Islamic extremist attacks in Paris and San Bernardino and the intensifying rhetoric in the presidential campaign have ratcheted up animosity against American Muslims.

"We believe we are part of the society. We have the same ideology as mainstream Americans," said Osman Ahmed, a resident of a Somali neighbourhood in Minneapolis.

Campaign 2016 Brussels

Nas Juma, 22, left, and Omar Ghanim, 23, enjoy Lebanese pizza in Little Arabia in Anaheim, Calif., on Tuesday. They talked about remarks by presidential candidate Ted Cruz, who said Muslim Americans should be subjected to more intense surveillance after extremist attacks in Belgium. (Gillian Flaccus/Associated Press)

"I don't think the ideology of surveillance of a Muslim community neighbourhood is the right thing to do. That will send a message that Muslim Americans are not a part of American society … and that's the message that terrorism groups are willing to hear."

Trump, who has proposed a temporary ban on foreign Muslims entering the U.S, praised Cruz's plan as a "good idea" that he supports "100 per cent" in an interview with CNN.

The Republican front-runner also intensified his past calls for the U.S. to engage in harsher interrogation techniques, arguing that Belgium could have prevented the bombings had it tortured a suspect in last year's Paris attacks who was arrested last week.

New Yorkers

Speaking Tuesday afternoon in New York, Cruz praised the city's police department's former program of conducting surveillance in Muslim neighbourhoods, called for its reinstatement and said it could be a model for police departments nationwide.

"New Yorkers want a safe and secure America," Cruz said. "New Yorkers saw first-hand the tragic consequences of radical Islamic terrorism."

After the 9/11 attacks, the New York Police Department used its intelligence division to cultivate informants and conduct surveillance in Muslim communities. In a series of articles, The Associated Press revealed the intelligence division had infiltrated dozens of mosques and Muslim student groups and investigated hundreds. The program was disbanded amid complaints of religious and racial profiling.

'What's scaring me more is the kind of potential fuelling of these vigilantes and people who might want to take up arms and go patrol Muslim neighbourhoods.' - Linda Sarsour

The Council on American-Islamic Relations, the nation's largest Muslim civil rights and advocacy organization, condemned the call for surveillance, saying it sends "an alarming message to American-Muslims who increasingly fear for their future in this nation."

The Anti-Defamation League, a U.S. group that battles anti-Semitism worldwide, said Cruz's plan harkens back to the relocation of Japanese-Americans to internment camps during the Second World War.

Linda Sarsour, executive director of the Arab American Association of New York, said she fears for armed groups "who are emboldened by the commentary from people like Ted Cruz and Donald Trump."

Dearborn mosque

"What's scaring me more is the kind of potential fuelling of these vigilantes and people who might want to take up arms and go patrol Muslim neighbourhoods," she said.

The Detroit suburb of Dearborn is widely known as the hometown of Henry Ford, who hired Arabs and Muslims in the early days of the Ford Motor Co. and helped create what is now one of the nation's largest and most concentrated communities of residents who trace their roots to the Middle East.

Kebba Kah, a 46-year-old Ford employee who was entering a mosque in Dearborn for evening prayers Tuesday, said the bombings in Brussels were "a very terrible thing," and insisting such attacks are roundly rejected by all Muslims save for "a few radical groups."