Do the MM's have some kind of knowledge or can they look at their book and divine that something is about to move a stock?
No they can't and the option "books" are exchange order books (Not their order book) and there are about 15 of them. Option MM use whatever method works for them to determine "fair value" at that moment in time for each option they post a market in. They don't care where the underlying will trade tomorrow (except for large gap moves) as long as they can hedge when needed with what gave them their edge.
