As far as I am aware, you will be considered a U.S. applicant, not an international student, even though you’ve lived overseas. You will be included in the U.S. admissions pool and eligible for U.S. financial aid, both of which are advantageous.
You should run the schools’ net price calculators to make sure you can afford the estimated family contribution. You shouldn’t expect to finance your undergraduate degree with loans unless your family is prepared to co-sign.
Harvard and other top law schools admit students from a wide range of educational and cultural backgrounds. There is no single path to admissions other than an excellent GPA and excellent LSAT score.
At age 22 and having completed Israeli military service, you are not a traditional first year applicant. This can be a plus or a minus; it’s difficult to predict. All selective colleges are looking for students who will contribute to the campus community intellectually, in talent and in life experience.