Just showing my skepticism of manually controlling a lunar lander. I'm not offering proof mind you, just skepticism.
You seem to think that the crew just jumped in the thing and went. This is far from the truth, they spent hours and hours and hours flying simulators to get a feel for how the controls worked and what they had to do. The Commanders also got to fly the LLTV which we're already discussed. Just because you and your friends couldn't do it first time, the pilots were vetern fighter and test pilots with hundreds of hours of experience flying, you aren't.
You also don't seem to understand the way the LM worked either. P66, the manual program wasn't entirely manual. In fact the AGC was the first fly-by-wire computer. The computer still did the flying, when you were in P66, the hand controller just told the computer where to go.
It worked something like this....
The inputs from the gimbles and radar would be entered into the computer. It would then determine the LM's current state compared to its desired state. If these were too out of line, it would push the LM back towards the desired state.
Let's say that it's desired start is 0 +/- 1 so in the range -1 to +1.
Currently the inputs are at -5.
The AGC now knows that it has to push towards Zero, so it applies a +3
Now the inputs tell us that the current state is -2
The AGC now knows that it has to push towards Zero, so it applies a +3
Now the inputs tell us that the current state is +1
Now let's add the controller I want the state to go higher so I push the controller up. If I just make the state higher, I start to fight the computer, so instead I trick the computer by subtracting 5
Now the inputs tell the AGB that the current state is -4
The AGC now knows that it has to push towards Zero, so it applies a +3
Now the inputs tell the AGB that the current state is -1
When I release the controller, the inputs remove that -5
Now the inputs tell the AGB that the current state is +4
The AGC now knows that it has to push towards Zero, so it applies a +3
Now the inputs tell the AGB that the current state is +1.
The computer does the work, the controller just points it in the right direction.
So the LM was a mix of Computer and exceedingly well trained pilot. There was no reason they couldn't land them, that's what they had been trained to do.