Head to the Gotham Bank and enter it. The alarm will be triggered so you don't need to sneak behind the thugs. As long as they can't see you, you can take them by surprise and not get the attention of nearby thugs. Once you took the initial wave of guys out, more will arrive. Just suppress them all to complete the objective. The Smash and Grab AR Challenge will become available.
The Drescher Branch is located in Founder's Island. If you'll check this branch out, make sure that you don't get spotted by the heavy militia ground presence.
The Kingston Branch will be attacked next after clearing the Drescher branch. This is the largest bank and you have to deal with a lot of robbers and two loading vehicles at the same time. Build fear by doing silent takedowns and use Fear Multi-takedowns to easily take out multiple armed enemies at once. You have to take down 15 hostiles before the money in the bank gets flushed.
Finally, after taking down the last hostile, Two-Face will appear, along with some militia guards. You have to be quiet now; like before, you have to make silent takedowns so you can use Fear Multi-takedowns. Be careful of detective mode as well since they have a specialist in the group. Use the Disruptor to disable the guns of at least three enemies, including Two-Face.
After systematically taking them all out, knock out Two-Face then deliver him to the QCPD lockup. Mission complete.