I like to think that I'm quite capable of operating in "level 3 mode," 
only I find the day-to-day assessment of various factual information 
much easier to accomplish if I'm in "level 2 cruise control".  (This 
is, in fact, a level 3 argument: I find it more "useful" to grind 
away in level 2 most of the time - just personal taste: it's much 
easier to arrive at the 'truth' for me.  If a discussion requires 
me to utilize level 3 thinking, then I will - no problem.
Examples:
1) Someone tells me that the Yankees beat the Braves in game 5, even 
though Smoltz and Wohlers combined to pitch a 0.00 ERA for the game.  
I say: "How strange!  Is this true?"  Then I watch the news, (a 'truth' 
authority (haha)), and find out that indeed, it is 'true', at which 
point I grumble about the Braves losing game 5.  That is "level 2 
cruise control": find out what is true and be done with it. Level 3, 
on the other hand, (and as I understand it), would approach this along 
these lines: it doesn't care what is 'true', rather focuses on what is 
'useful,' - In level 3, I would note all the seeming "facts," and then 
decide to accept the lesser of two evils: the non-fulfillment of my 
personal desire to see things as others seem to see things; or the 
non-fulfillment of my personal desire to see the Braves win.  I choose 
that the lesser of the two evils is to accept this so-called "fact" 
that the Braves lost, and then behave in such a way that I feel will 
benefit me the most, (or do me the least harm): I grumble about the 
Braves losing game 5.
Clearly, level 2 mode is easier to run in here.
2) Religion: in level 2, I will ask, "is it true that I will live 
forever after I die, if I believe in God?"  Seeing no substantial 
objective evidence for it, I say, "I don't know."  But on level 3, 
I would say: what benefits me most: belief that I will live forever 
due to my belief in God, or non-belief.  Then, a Christian, of course, 
feels much more secure with such a belief, so believes accordingly; 
whereas an atheist likely prefers being his/her own authority, so 
finds no benefit in believing such.  So, one can come to theist or 
atheist conclusions either way, but in this case, the level 3 mode 
does seem to be more appealing, since the 'truth' in this case 
really is harder to define than a simple everyday fact, such as 
in example 1.
-JPSchneider