You do realize that when a region is under strict military occupation, those who oppose the occupation cannot exactly openly voice their protests, while those who like it, can. There is a portion of the population who support the annexation of Crimea, but you cannot make any real judgement of it's size by the data we have. (IMHO It's probably >50%).

I'm not going to claim that I know one way or the other (I think it's pretty difficult at this point) but here's another data point, http://humanrightsinvestigations.org/2014/05/12/pew-poll-cri...

What evidence is there that during the vote there was "strict military occupation"?

Among other things, the statements of Crimean Ukrainians and Tatars who have since then fled the place? If you were not part of the Russian majority you very much have to keep your head down.