Fine to take your shot but you really need to expand your horizons. MIT has an acceptance rate under 5% and routinely reject students with perfect GPAs and standardized tests.
IMO the whole concept of a hyper-competitive “dream school” is a terrible idea. There are tons of amazing colleges and universities where you can have a great four year experience and get where you want to go in life.
Consider why you like the school you mentioned other than being a “big name” and do the work to find a group of excellent but less competitive schools which have similar attributes.
In addition, focus on affordability. The loans you can take out as a student are limited and ROTC scholarships are competitive.