I have already prepared a whole bunch of documents to take with me to the interview:
(1) IRS tax transcripts for 2007-2011;
(2) copies of my salary slips 2007-current month;
(3) a paper from Missouri Highway Patrol, which shows that I do not have any criminal records;
(4) a paper from local police department with a statement that the ticket I got for "property damage" has never been filed to court (all because of this unfortunate broken window in my friend's apartment in 2004, for which I paid to the apartment manager $106.84!!! Now, since I discovered this record a couple of weeks ago, I must confess about this to the IO - what a terrible shame! A professor who breaks windows!!!)
(5) record from DMV that I have never had any traffic violations;
(6) original of my birth certificate;
(7) originals of my prior marriage certificate and divorce certificate in my home country;
(8) notarized translations of documents (6) and (7);
(9) originals of my present and expired passports;
(10) original and a copy of my GC;
(11) a letter from my University about my employment - I have not got it yet, but will get just before the interview, if it is needed.
(12) my driver's license and a copy of driver's license;
(13) originals and copies of my professional membership cards;
(14) my faculty ID card at the University and its copy.
Have I missed anything important that the other people take to the interview?
Your list is a good start, but it is missing some additional important items. You'll also need to bring:
15) A police clearance certificate from New Zealand confirming that you have no criminal record there.
16) A certified letter from the military authorities in Madagascar confirming that you have not evaded military service there. You'll also need translations of this letter to Latin and Greek; translation to Esperanto is optional but recommended.
17) Veterinary records of your pets, for the last 9 years.
18) A letter from Disneyworld confirming that you are not in leage with the Wicked Witch of the East. The letter must be written in iambic pentameter.
19) A letter from the board-certified astrologist with your horoscope for date of the interview, in triplicate. It is also a good idea to bring a letter with the IO's horoscope as well - one could never be too careful.
20) A character reference from your third cousin, twice removed.
21) Copies of certificates of inspection of the elevators in the building where you work, for the last 6 years.
22) A notarized letter from Santa Claus confirming that you have been on the "nice" list for the last 5 years.
23) A rubber duck.
24) A small piece of cheese.
You'll probably need to get a few other things, just in case, but the above list covers the most important items.