I am not Christian and I didn't apply to Texas Christian University etc. for undergrad, because I knew I wouldn't be their ideal candidate. Similarly, I wouldn't apply to Loma Linda because I am not their ideal candidate. I am also not a URM applicant and I won't be apply to HSB schools like Meharry or Howard either...again not out of antipathy towards those schools, but simply because I am NOT their ideal candidate.
They are private universities and are well within their rights to choose a majority student body that follows their religious teachings so please don't complain about this. In short, its great that Loma Linda takes 35% non SDA. Like the poster above me said, nothing guarantees you admission and LLU is no different in that regard. Apply ONLY to places where you will be their ideal candidate, applying elsewhere should not be something to count upon. This should really go without saying but I've now said it!