In my humble opinion eliminating user interaction does not strengthen security. Most data breaches are only possible because no user interaction is required. A hacker does not need to show up and identify himself, he is not required to present a physical key, token or some specific mobile device to access the data, all he needs to do is creating some anonymous process that interacts with the programs managing your data to obtain that sensitive information. He does not have to enter the building to grab it, no one will ever notice his actions because he didn't do anything, his software does all the tricks.
If you have to turn a physical knob and insert two distinct keys to get into a safe, you need a whole lot of time to try every possible combination and somehow steel or copy both keys from different people at different locations. If all you need to do is enter a number on an electronic keypad, chances are that some smart guy may connect a device that generates combinations at light speed and opening that safe will require no more than a few seconds.
Physical actions on physical devices by physical users does strengthen security. However, if you protect your data in such way that it is only accessable from certain physical workstations, many people will complain because they are so used to have access to their data from all around the world. If you need to secure your data, keep it in a secured room and post a guard at the entrance. Every encryption is as weak as the passwords used, and I don't have to tell you that with the amount of systems requiring passwords today nearly every administrator keeps a password list somewhere stored in a file on a server, often named passwords to show the hacker what's inside.