Not that it matters (we all get to pick our own questions for our own reasons) but I wouldn't ask about clarity because they filter and do so on such a large scale that I'm not sure how applicable it would be. And since I have no intention of filtering my beer that wouldn't really interest me. IME you can get perfectly crystal clear beer without filtering (but it does take longer).
I would like to get some of the hop extract they use though. Can you hook me up brew master?
Well there is a difference between asking a general question and asking one that would relate to homebrewing.
Maybe the difference is what would you ask them on the spot, or during the course of conversation, or something you have a specific interest in. I am sure they can explain the techniques they use to achieve clarity(or as much as they are allowed to), but you could look some of that up in a book, or online, or ask the question here and probably get a variety answers from many experienced brewers.
Not that there is anything wrong with asking a question that the answer is readily available. But I wouldn't compile a list of questions such as "how does a larger boil increase hop utilization", you can find that out today, but it wouldn't be a bad question to ask on the spot while brewing.
I'd want to ask questions beyond what resources are readily available. Again, I would be more interested in the industrial process then the actual brewing. Whenever I spoken with commercial brewers they usually know about a lot more then just brewing, marketing, distribution, legal, financial, etc.
I might ask about "green" building, hate that word. Have they had to convert any systems to be more environmental friendly or energy efficient. Have these changes been forced, or did AB make these changes voluntarily for some reason (they care about the environment, they care about energy costs, or maintenance or replacement was req'd anyway). Do they use heat reclaim and how. Such as, do they use the heat rejected from their cooling systems for water heating or space heating.