I recently had an Emeo practice saxe. In fact it is a MIDI breath controller. I would like to know if there are NI synths that respond to the breath controller or if there are future developments in this direction.
@LeClou FM8 will respond to MIDI CC2 (breath control) by default. I don't think there are any NI Kontakt libraries specifically set up to respond to breath controllers but you can easily assign MIDI CC2 to any available parameter in a library, same thing in Reaktor. Maybe there are dedicated third party libraries but I'm not aware of them.
I use a wind controller (WX5) and use Kontakt exclusively, with a variety of standard instruments.
Your machine looks very beautiful and must be lovely to hold but it's not very versatile: As far as I can see it can send only note messages and cc#2 messages - there doesn't seem to be any lip sensor. Presumably you just want to use it for saxophone practice.
You'd have more choice and probably get a better sound from a good quality sampled instrument in Kontakt than from the modelled ones on offer - the samples and particularly the legato transitions can be extremely impressive and realistic. I haven't any serious saxophone instruments but the Spitfire woodwinds (not the cheap "Studio" libraries!) are very good. Most of them I think will work in Kontakt Player, i.e. without having to buy the full version of Kontakt
A bit of tweaking would be required. No rocket science. I've given some advice at
https://community.native-instruments.com/discussion/comment/85629#Comment_85629
and would be happy to expand on that if you're interested.