CRUZ: We're entering 'new phase' in terror war, 'must avoid the trap' of dismissing attacks as 'isolated incidents'

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Texas Sen. Ted Cruz on Monday renewed calls for increasing restrictions on who can enter the country, saying in a statement that a spate of terror attacks on US soil over the weekend indicated "we are moving into a new phase" in the war with ISIS and Al Qaeda.

Cruz said that a "focused, aggressive military campaign" against ISIS two years ago may have "effectively destroyed the terrorist group," but additional measures must now be taken.

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The statement came after a series of weekend acts of terror in New York, New Jersey, and Minnesota that injured dozens of people but did not claim any lives. ISIS claimed responsibility for the mass stabbing at a Minnesota shopping mall, but no terror organization has taken credit for the East Coast bombings.

Law enforcement was able to identify and apprehend on Mondaya suspect wanted in connection to the weekend bombings in New York and New Jersey.

RELATED: See images of the bombing suspect caught Monday

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Ahmad Rahami
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Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in this image taken from video, released by the New Jersey State Police on September 19, 2016. Courtesy New Jersey State Police/Handout via REUTERS ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY
Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in this image released by the New Jersey State Police on September 19, 2016. Courtesy New Jersey State Police/Handout via REUTERS ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY
Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in this image released by the New Jersey State Police on September 19, 2016. Courtesy New Jersey State Police/Handout via REUTERS ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY
An image of Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in a a poster released by the Federal Bureau of Investigation (FBI) on September 19, 2016. FBI/Handout via Reuters ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY.
An image of Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in a a poster released by the Federal Bureau of Investigation (FBI) on September 19, 2016. FBI/Handout via Reuters ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY. THIS PICTURE WAS PROCESSED BY REUTERS TO ENHANCE QUALITY. AN UNPROCESSED VERSION HAS BEEN PROVIDED SEPARATELY. TPX IMAGES OF THE DAY
Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, is seen in this image taken from video, released by the New Jersey State Police on September 19, 2016. Courtesy New Jersey State Police/Handout via REUTERS ATTENTION EDITORS - THIS IMAGE WAS PROVIDED BY A THIRD PARTY. FOR EDITORIAL USE ONLY
Policemen place in an ambulance a man they identified as Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, in Linden, New Jersey, in this still image taken from video September 19, 2016. REUTERS/Anthony Genaro
A policeman takes a photo of a man they identified as Ahmad Khan Rahami, who is wanted for questioning in connection with an explosion in New York City, as he is placed into an ambulance in Linden, New Jersey, in this still image taken from video September 19, 2016. REUTERS/Anthony Genaro TPX IMAGES OF THE DAY
Ahmad Khan Rahami is taken into custody after a shootout with police Monday, Sept. 19, 2016, in Linden, N.J. Rahami was wanted for questioning in the bombings that rocked the Chelsea neighborhood of New York and the New Jersey shore town of Seaside Park. (Moshe Weiss via AP)
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"As we confront this new phase, we must avoid the trap of misconceiving these attacks as isolated incidents somehow disconnected from the larger ideological struggle against jihad," Cruz said.

The Texas senator added: "It is past time to take off the blinders and call the enemy what it is: radical Islamic terrorism engaged in a coordinated campaign designed to disrupt our very way of life."

Cruz, a former top contender for the Republican presidential nomination, also called on a better working relationship with the Muslim community and for Congress to stop permitting refugees who live in "hotbeds of terrorism" from entering the country.

"We also desperately need the active participation of American Muslims who see the jihadis for what they are: the enemies of all who celebrate freedom and tolerance," he said. "Congress should act to prevent Americans who have travelled abroad for training from returning here, and to stop the flow of refugees from hotbeds of terrorism in the Middle East that President Obama is determined to bring to our country."

Cruz concluded: "We can't overcome our enemies by pretending they don't exist, and undermining our first line of defenders. Only together, clear-eyed and determined, can we defeat this foe."

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