No, I wouldn’t Include a letter to the editor of the New York Times.
What do you hope to gain out of that? I don’t understand.
We have children, in my city, that write letters to the editor, all of the time. These are elementary and middle school children. They get published.
I don’t know if you understand, but the students who I know, who were admitted into some top schools, were students that showed a specific passion for something.
You are not supposed to cater your extracurricular activities, according to what you think the schools and universities expect. It is not supposed to be “let’s throw everything at the wall and see what sticks”.
Be yourself.