In addition (or even instead of, at first) to getting off the bike more, the Keith Code method of getting the bike all the way over as quickly as possible helps. The faster it is leaned over, the less lean angle is needed for the corner. If the turn-in is gentle and slowly moves up to max lean, that max lean will be a few degrees steeper than otherwise.
Also, every time you scrape your sidestand your taking a few grams of weight off the bike, so it's not all bad, right?
