Well, the misogny one should be pretty obvious. Just take a glance at Maxim College, where all girls dress like hookers and seem to on the cusp of orgasm at all times. Even Megan Fox`s character, first seen with the camera salaciously panning over her ass, is basically window-dressing with nothing to do but look hot and jiggle. Hell, even the first one gave her something to do in the final battle. This one just lets her be dragged around by Shia the entire time. To call her even two-dimensional would be kind.
Xenophobia is something of a problem in a number of Bay films,
Armageddon and
Bad Boys II being also offenders, in that he waves the American flag with hyper-active gusto, and paints the USA as the greatest country in the world, while portraying other countries in incredibly simplistic lights, often primitive in fact. Look at the sole human representations of Egypt in this film, with the bumbling border guards. And don`t forget the Jordanian army who, unlike the American army, are swatted down like gnats within 15 seconds of appearing. Heck, the sole representative of Shanghaì`s population (correct me if I`m wrong here) is an old man in Fu Manchu garb eating noodles.
As for the glorification of the miilitary, do I even need to explain this one further... The endless majestic visual slow-mo pornography of battleships, fighter jets and soldiers. The infinite scenes of anonymous military people dramatically spouting jargon. This is a Bay motif which has been consistent throughout his career.