Have you tried contacting KLM to get them to acknowledge your status on the ticket? Have you tried removing and reapplying your FF number as this *might* fix a glitch? You might need to do a conference call with DL and KLM if all else fails.

Can't book AF segments in multi city on delta.dumb effectively means that one can't do USA-CDG stopover CDG-EU destination (served by both AF and DL) then EU-USA with all segments except intraEU operated by DL? Wow! Can DL ticket this by phone? [I did something close on an award ticket this summer. IIRC I did need to phone to book it, although I was initially trying for a KLM intraEU segment followed by a 23 hour connection in AMS and the DL line made it work using AF.]