Somehow the orientation of your animation-bones gets broken when exporting it from DAZ -> via fbx -> Blender.
QUESTION: what is the (export/import) result when you export you model into a different file-format?
DAZ manual, Chapter 6 , exporting 3D models:
– http://docs.daz3d.com/doku.php/artzone/pub/software/carrara/06_six/06_import_export