That's not what happened after Kent State. And America was far more conservative in 1970.
From Wiki:
The shootings triggered immediate and massive outrage on campuses around the country. It increased participation in the student strike that began on May 1. Ultimately, more than 4 million students participated in organized walk-outs at hundreds of universities, colleges, and high schools. The shootings and the strike affected public opinion at an already socially contentious time over the role of the United States in the Vietnam War.
One of the things Kent State did was cement into future generation’s minds that Vietnam was “Nixon’s War”, as if LBJ never ever existed.