It is actually not hard at all. Some recent studies (don't have references, sorry) showed that you don't need to get all of your essential amino acids in a single serving so there is no real need to stack your meals to contain a complete protein. The key is that on average you get all of your essential amino acids which, except for one or two (in recent debated studies), you can't really overdose on.
Another study showed that it is actually really hard to not get all of your amino acids in any diet. Since just about every food you eat has some combination of amino acids in it, unless you are eating literally the same thing every meal of every day you are incredibly likely to get all of your essential amino acids on a daily (and even likely a per meal) basis.
The study I read indicated that the author couldn't come up with a reasonable "average daily meatless meal set" that did not contain all of the essential amino acids throughout the day. The same goes for a vegan diet.
Unfortunately a while back, when vegetarianism and veganism hit off there was the incorrect belief that you needed to get complete proteins in a single sitting. While this has since been shown to be incorrect, it seems that it will forever fuel the fires of anti-vegetarianism debate.
Yes I would, assuming we are talking about just being able to not feel the pain of others at this stage of my life and forward, perhaps even by choice (so I could toggle it back on). Though, if we are not talking about a hypothetical "magic pill" then turning these off would have side effects I would like to avoid.