I’m having the same basic problem. WordPress 3.3.1. Firefox 10/Mac.
After firing the POST, it GETs wp-admin/load-scripts.php, and seemingly tries to get all of the scripts associated with this plugin again. I can send a screenshot from Firebug if that’s helpful.
In Firebug, here’s the content of the POST:
pictureID=1&ngg_crop%5Bcropprocess%5D=1&ngg_crop%5Bx1%5D=0&ngg_crop%5By1%5D=0&ngg_crop%5Bx2%5D=2000&ngg_crop%5By2%5D=1076&ngg_crop%5Boptimizeforhome%5D=1&ngg_crop%5Bcropwidth%5D=2000&ngg_crop%5Bcropheight%5D=1076
ngg_crop[cropheight] 1076
ngg_crop[cropprocess] 1
ngg_crop[cropwidth] 2000
ngg_crop[optimizeforhome] 1
ngg_crop[x1] 0
ngg_crop[x2] 2000
ngg_crop[y1] 0
ngg_crop[y2] 1076
pictureID 1