SAT Retake b/c it doesn't match ACT?

[skieurope]

To apply to schools like Stanford which require me to send both SAT and ACT, should I retake my SAT?

No. Your time is better spent elsewhere.

Another question is, what schools are like Stanford in regards to their testing policy? (All scores from BOTH tests)

AFAIK, none. But you can look through the following thread:
http://talk.collegeconfidential.com/sat-act-tests-test-preparation/1912440-must-you-submit-all-sat-act-or-sat-subject-test-scores-p1.html