Compiling MindConnect Library of Mindsphere

I have no clue how you would use this library or if it's even possible but I can tell you there is a new feature to allow pre-compiled files to be used in libraries:

precompiled - (feature not yet released, will be available in arduino-builder >1.3.25) (optional)
set to true to allow the use of .a (archive) and .so (shared object) files. The .a/.so file must be located at src/{build.mcu} where {build.mcu} is the architecture name of the target the file was compiled for. Ex: cortex-m3 for the Arduino DUE. The static library should be linked as an ldflag.

I believe you can access this feature in the beta build of the Arduino IDE, which you can download from:
http://www.arduino.cc/en/Main/Software
It might be necessary to make a small modification to the platform.txt of the board you're using: