I'm not sure how good I am at standardized tests, as I never had to take them (i'm not from the states so no SAT for me). However, I definitely don't think i'm a genius (in fact, many people have straight up told me I'm not)
I think succeeding on the DAT is largely a function of your preparation/effort. I've heard other things for the LSAT and MCAT though.
All in all, work hard, work often and use all the good resources (destroyer, bootcamp, chads, cliffs, feralis) and you should be solid.