<p>That 630 M and the Cs in college math/phys would make me think that you wouldn’t make it through Core. You also do not sound like a good fit for Caltech (strong interests in humanities and religion). At Caltech, math/science will be your life, often to the detriment of other interests. You sound like you would be happier somewhere more well-rounded which also has a strong math/science program.</p>