Acid:

FBX is a terrible format, although used a fair bit. Try DXF format or get hold of Polytrans, that will cure it no problem

Also check your face normals and put everything you can to single sided. If its still giving you these probs, you really are better off doing OBJs. Export the objects separately then put them back together in Max. Then just reset the edge normals and so on.

also try a different FBX exporter...https://usa.autodesk.com/adsk/servlet...&siteID=123112

hope this helps

Jay