Looking at the whole video--repeatedly--on CNN (from late final to the climb-out), he should've gone around as soon as he was over the fence. It looks like it wasn't just at or near the max crosswind for that aircraft, but also gusting. Plus the flare was too high (or a ton of ground effect). Either that, or he just didn't know when/how to transition properly. Bottom line, there was more "gotta get it down-itis" than was prudent.
This kind of landing--or at least the successful kind--is common at PHX on late afternoons/evenings during monsoon. Strong southerly winds and nothing but east-west runways.