Back away from the plate a little.
It looks like you are jamming yourself a lot. When you are jamming yourself like that, it looks like you are swinging at the ball, instead of swinging through the spot where the ball will be. You can back away far enough that the bat covers most, but not all of the plate when you swing. If the pitch is outside, you can step towards right filed to cover the rest of the plate. That will also help you get a little more pop on your backside shots.
Don't lat the leg haters get you down. I work mine until I can't stand up, but they don't et any bigger.