[john70t]

I ain't an expert, but it might not be do-able with that sink and/or without modifying the main stack attachment height.

1). Look at the basin heights.
The big one sits much lower.

2). Look at the vertical distances: Compare the disposal top with its output port to where it will end up via the wall exit pipe.
It has to be higher than the wall exit for it to drain at all.

When entering the vapor/p-trap, there needs to be some gravity acceleration for the water to push all the food particles through the bend and flush it through.
With the disposal output directly above the p-trap, that won't happen easily.
Water will be able to sit in the pipes, on the joint lines, and eventually will leak out inside the wood cabinet.