I am not 100% sure but I think all high school shootings have been at Public Schools.
Based on that all Public schools should be outlawed. Others have a different opinion.
The British Labour Party’s vote to ban private schools — by taking away tax exemptions and charitable status and redistributing the assets of schools — is prompting a round of commentary in America.

The director of national research at EdChoice, Mike McShane, describes the proposal as “illiberal,” which for him is a negative. McShane, writing at Forbes.com, cites the U.S. Supreme Court’s 1925 opinion in Pierce v. Society of Sisters, which unanimously struck down an Oregon law requiring all students to attend public school: “The child is not the mere creature of the State; those who nurture him and direct his destiny have the right, coupled with the high duty, to recognize and prepare him for additional obligations.”

The idea of banning private schools has surfaced sporadically here in the United States, driven in part by Berkshire Hathaway billionaire Warren Buffett, who is a graduate of the Washington, D.C. public schools.

Michelle Rhee, who was chancellor of the District of Columbia public schools, wrote in 2010:

Warren Buffett framed the problem for me once in a way that clarified how basic our most stubborn obstacles are. He said it would be easy to solve today’s problems in urban education.

“Make private schools illegal,” he said, “and assign every child to a public school by random lottery.”

On April 29, 2011, the former New York City schools chancellor, Joel Klein, spoke at the Manhattan Institute’s annual Alexander Hamilton Award Dinner. Klein recounted the same Buffett anecdote: “Buffett said public education would change entirely if we eliminated private schools and all of us had to send our kids to public education.”

Buffett’s suggestion, or thought experiment, notwithstanding, here in the U.S., the idea of banning private schools has been so unpopular that people have hesitated to voice it publicly. Earlier this year, the website fivethirtyeight.com featured the concept in its “Political Confessional” column, “about the views that Americans are scared to share with their friends and neighbors.” The column interviewed “C., a 42-year-old biracial woman who lives in New York City and is a scientific researcher.” Protected by anonymity, she observed, “The kids who went to private school tended to be what would colloquially be termed frat boys. That was the sort of cultural identity that I put on those kinds of kids. They had boats and lake houses and third homes.”

One press outlet that has explored the issue is the Atlantic. In 2017, the magazine’s editor, Jeffrey Goldberg, interviewed New York Times journalist Nikole Hannah-Jones and asked her about it:

Goldberg: If you were the dictator of America, would you outlaw private schools? Would you force all the white kids, and all the upper-middle class and upper-class African-American kids, into the public-school system? You’d have a deep level of parental involvement, right? Are private schools immoral in this context?

Nikole Hannah-Jones answered in part: “The answer to your question is yes, you would have to. If you truly wanted to equalize and integrate schools, you would have to.”