Earlier quoted context omitted.
Anecdotally, it absolutely has. The people I knew growing up (regardless of race) whose parents encouraged educational excellence were far more likely to attain it. (Looking at your link, it's important to note that it doesn't separate Jewish and non-Jewish Whites.)
But it looks at all students (not only those that make it into the Ivies), so Jewish whites, that are only ~4% of all whites, have a minuscule effect on white SAT scores. Yet, for non-Jewish whites, comparatively higher SAT scores have not translated into higher Ivy enrollment.
On average, yes. At the Ivy League level, though, they account for a solid third of the white admissions. I'm sure you'd find a similar overrepresentation in the top few percentiles of the SAT.