About that tilt..........

If you lean the servo a bit, the lines won't touch. Raise one side of it and you'll see how it works.

Say the servo has two ends (front and back) where the mounting holes are and it has two sides (left and right). If the servo arms that have the lines connected to them project out the sides of the servo, then if you tilt the servo over on it's side just a little, the lines won't touch.