Donald Trump would not pass his own ideological "test" aimed at protecting the United States from radical Islam, the Council on American-Islamic Relations said in response to the GOP nominee's speech Monday.

The Muslim group, a constant critic of Trump's "bigotry" against American Muslims, such as his ban on all Muslims entering the U.S. and his ongoing feud with a Muslim Gold Star family, said in a statement that "American values include the right to hold unpopular or non-majority opinions."

"Trump himself would likely not gain entry into the United States if tested for basic American values of tolerance and pluralism, given that his proposed ban on Muslims entering the United States and his views on Latinos are in complete contradiction to America's traditions of ethnic diversity and religious freedom," said CAIR Government Affairs Director Robert McCaw.

At a campaign event Monday in Youngstown, Ohio, Trump announced a series of counter-terrorism strategies to combat radical Islam, including an "ideological screening test" to evaluate immigrants' attitudes toward American values.

"In the Cold War, we had an ideological screening test," Trump said. "The time is overdue to develop a new screening test for the threats we face today — I call it 'extreme vetting.' I call it extreme, extreme vetting."

He also called for the creation of a commission to educate the public on how to better be on guard against radical Islam.

McCaw said such a commission "crosses the line into government interference in religious beliefs," and warned that the panel would be filled by "anti-Muslim bigots."

"This government promotion of a state version of a particular religion would violate the First Amendment and put America on a path to a society in which those in power get to choose which beliefs are 'correct' and which are 'incorrect,'" said McCaw. "Donald Trump obviously views millions of ordinary American Muslims not as fellow citizens who contribute to this great nation, but as foreign intruders who must be treated with suspicion and whose constitutional rights may be curtailed."