In recent years Jews did not experience any persecution in the great US of A. So no advantage to you. And for the record - you’re Caucasian. (Unless you’re Sephardic, but that’s a different story.)
You don’t consider yourself Jewish and according to the Jewish law - you cant be 1/4 Jewish, you're either in or out. And you are out.
Also, it seems like you aren’t that bright, so don’t want you in the tribe.