Thank you, Ivan. Yes, I set all layers to 1 before posting this forum thread, as well as read this article at wiki, but it didn't help.
I've tried your recommendations regarding low treshold value, it solved the anti alias, but brought even more sophisticated issues, for example the edges are not rough anymore, but they pass a background color in between the edge, which looks even more spooky than the high treshold levels

Nonetheless, I have sent an email (from shalmoo {at] gmail.com ) with the scene attached to it.
And eventually we have decided to purchase the Flare3D license, in hope that the newer exporter may fix the problem by default: this video
http://www.flare3d.com/demos/car/video/ demonstrated that a new exporter definitely has much more new features than a public one.