@hypsm123: If you are lucky enough to be accepted to Harvard, you should realize that many famous professors there received their BA or BS degree from other colleges – and they have enormous respect and fondness for their undergraduate school, including Yale. For example:
Drew Faust, Harvard College President, graduated from Bryn Mawr
Rakesh Khurana, Harvard College Dean, graduated from Cornell
Michael Sandell, Harvard Professor, graduated from Brandeis
Henry Louis Gates, Jr., Harvard Professor, graduated from Yale
If you are lucky enough to be accepted to HYP and S, I would hope you would choose the school with the best fit, rather than which school has the lowest acceptance rate.