You haven't calculated all the currents and voltages correctly.
I've redrawn the picture with the added resistor, because it makes the math a bit easier without changing anything of significance.
The voltage drop across Rs is 2 microvolts.
So the only difference between this setup and my Figure 2 above is that the voltage differential across Rbat is:
2V - 0.000002V = 1.999998 volts (instead of 2.0 volts)
The current through Rbat will be 1.999998 microamps instead of 2.0 microamps. The rate of Galvanic corrosion will only be slowed by 0.0002%.
You simply can't have a significant effect on the current through Rbat without either; dissipating a prohibitive amount of power in Rs, or increasing the value of Rs substantially. If you can increase the value of Rs substantially, then you can as easily make it effectively infinite.