Civil rights are considered by conservatives to be identity politics and minorities being given an unfair advantage, so not it would not be passed today. McConnell wouldn't even bring it to the floor for a vote.
Plenty of Conservatives in 1964 voted for the CRA. And stop being disingenuous. When Conservatives decry identity politics, they are talking about things like when college students and staff mindlessly attacking a business on campus because that business was accused of being racist. Conservatives often oppose things like affirmative action because it is separate treatment based on race.
The mistake that many conservatives make is to act like only 1% of the population is racist. The mistake that you are making is acting like 50% of the population is racist. But extremes are obviously wrong.
Most Democrats who voted against the Civil Rights Act were conservative. The Republicans who voted for it are long gone and have no real counterparts left.
