I need some insight please for my arugementive essay about what makes people American. I was thinking that my main points could be culture, ciztenship, and knowing who you are. Would these be good points for my argumentive essay?

OK, then your essay focuses on Native Americans, they were the original citizens, and a unique culture, and knew their identity.
Just kidding. I think your attempt to make a single culture the focus is doomed. See the "salad bowl" concept here:

http://en.wikipedia.org/wiki/Melting_pot

From the earliest English settlers to the most recent immigrants, a few values have remained constant.

People are drawn to the U.S. to better themselves economically. Although a few Americans have despaired of becoming financially successful, most of us still believe that if we work hard and save money, we will have one of the highest standards of living on earth.

People are also drawn to the U.S. for freedoms -- of religion, speech, and assembly. Most of us still value these freedoms -- which is another unifying factor.

The New York Times published an article today about the many Muslim immigrants have moved here in the last two or three years. Although they know that there are some problems with discrimination, they've come to make a better living and enjoy the freedoms of American life.

An American is someone who lives in America and has freedom pf speech,choice of religion,and freedom to work and live where they want.

Yes, those are good points for your argumentative essay. Culture, citizenship, and knowing one's identity are all important aspects that contribute to what makes people American. However, it's important to note that American culture is diverse and made up of various cultures from all over the world. The concept of the "melting pot" or "salad bowl" idea can be explored to showcase the diversity and inclusion within American culture.

In addition, you can highlight the values that have remained constant throughout American history, such as the pursuit of economic betterment and the importance of freedoms like religion, speech, and assembly. These values are shared by many Americans and can serve as unifying factors.

It's also worth considering the experiences of different immigrant groups, like the recent Muslim immigrants mentioned in the New York Times article. Their reasons for coming to the United States may align with the notions of economic opportunity and the desire for freedom.

Remember to support your arguments with examples, statistics, or personal anecdotes to strengthen your essay and make it more persuasive.