I'm not sure about other compilers, but compiling C code as C++ with MSVC ends up with pretty much the exact same code, instruction by instruction. C++ is a bit more strict though especially with casting, so a lot of code won't compile out of the box.
C++ code compiles to a different function names in object file (name mangling). You probably need to put a lot of ugly `#ifdef __cplusplus extern "C" {` boilerplate in your headers, otherwise C and C++ files will not compile together.