how to control 2D physics stepping?

I'm not sure this is even the right question. But I'm looking for a way to be able to utilize 2D physics while maintaining a pixel perfect sprite translation.

I'm able to do this with the camera and other objects without physics by controlling settings to the orthographic camera and filtering their translations.. no problem.

I just see no way to ensure that translated objects that are under 2D physics control will respect a stepping field (a value that might act like a snap).

Is there a trick somewhere someone could share with me, or did I just completely overlook something simple... or asking too much?