If you're leaning your bike into a turn: you want the inside pedal up and you should be putting pressure on the outside pedal and kinda downward to keep at least the front tire gripping.
But to effectively turn a bike, lean is not required. I ride a fixed gear where pedal strikes can be a issue, for sure. Of course I have to manage my speed more into a curve and be aware not to lean much, but it can be done and really doesn't take that long to get used to.