Well, get on it :)
IMHO, the author should remove Linux from the README unless he intends to really make it build on that platform, if the goal is, after all, "Portable and compiling in one click on Windows, Mac OSX and Linux". No Makefile, configure or CMakeLists.txt is provided with the source, and the unix_compat.h file is missing from the sources.
Edit: I'll probably continue with my attempt to compile it manually tomorrow...