I don't know about the power elite, but I wouldn't call Harvard or the Ivy League "heavily white". The current (or recent, last few years) composition of non-international students in the Ivy League is as follows:
Ivy League US Ratio
Jewish 17.2% 2.4% 7.16
Asian 19.6% 5.3% 3.71
White (incl. Jewish) 50.3% 61.5% 0.82
Hispanic 11.4% 17.6% 0.65
Black 7.8% 12.7% 0.61
White (non-Jewish) 33.1% 59.1% 0.56
Multi-ethnic students and minor ethnicities were excluded from this table. Sources used were the universities own diversity reports, and the lowest estimate for the Jewish student body from the following Jewish organizations: http://hillel.org/college-guide/list/, https://forward.com/jewish-college-guide/, and https://ejewishphilanthropy.com/how-many-jewish-undergraduat....The (slightly messy) calculations: https://www.jotform.com/tables/220446862418862 - please let me know if you find any errors.
Edit: Updated table link: https://airtable.com/shrtIPZdmejxwKUcM - jotform seems to let the creator view the table, but anyone else is made to log in. Hopefully airtable doesn't pull shady tricks like that.