Here is your model quadrated. I fix some edges now the loops seems to be fixed If i missed something i'm sorry :p


pipeline : I've open the 1st model you attach.
The problem was that when you export you set to export triangulated mesh, then i simply go into maya and select the object go into the mesh menu and hit convert to quads ( i think that was the name not sure ). After that i cleaned some of the edges and here you go