How to redesign a circuit to use a current sinking IC rather than a current sourcing IC
They are the same thing excluding the output. The active low is exactly the same as the active high with an inverted input on all pins.

I have a few app's with servos, this would require I put an inverter on each path or changed out my servos. With info for your servo I might be able to help more but I doubt this change is worth it.

I took a look through your site, I have enjoyed it both times I have visited it, but I did not find more hardware information, if I missed anything, I apologize.
-Max Murphy