Loic
If you don't manage to solve your USB-MD to SD card requirements you can fall-back on a complete and industrially proven solution for the K64 at the link below - it allows the K64 to be simulated in (appox.) real-time including the SD card and all of its FAT operation.
In addition it includes FAT emulation which allows also internal data Flash or external SPI Flash to be used in a linear fashion to store binary data but later be visible as formated data to a PC host.
Regards
Mark
Kinetis: http://www.utasker.com/kinetis.html
K64: http://www.utasker.com/kinetis/FRDM-K64F.html / http://www.utasker.com/kinetis/TWR-K64F120M.html / http://www.utasker.com/kinetis/TWR-K65F180M.html
For the complete "out-of-the-box" Kinetis experience and faster time to market
:smileyinfo: Out-of-the-box support for 47 Kinetis boards and 10 IDEs (460 combinations from a single code source with no porting required)