From my understanding of copying the greats, unless you are investing in their vehicles, Berkshire, DJCO, etc., it's hard to gain the same benefits from following their picks. You might not have the same investing timeline, investing criteria, portfolio, and while the purchases gardner a lot of headlines, the stock sales usually get less (so difficult to time).
With regards to the anxiety of that time period. It was crazy because big institutions were literally going or likely to go down (Lehman, Bear, AIG, Citi, etc). Most disciplined approach would have including adding during those periods, whether it's a boring regular contribution to index investments or focusing on some high quality companies. I'm not sure if it took a lot of courage, but 2008/9 was one of the Fisher hiccup buying opportunities, and the opportunity persisted for awhile after. So if not at the bottom - which is not when Munger or Buffett aims for or purchased at - there was plenty of time even after conditions improved to go in. DJCO positions were more secret because the value wasn't high enough to warrant disclosure (until the value increased to warrant disclosure). Some of Buffett's public moves were before (and after) the bottom.
(That said, I don't want to take lightly those that sold out around the bottom, and suffered huge capital loss, or those who were dependent on income and had to bear the brunt of a drastic downturn, or those that just waited around.)
Following their process (and discipline) may be of more value. Following the exact purchases of money managers is a tougher call.