Would it be possible to achieve the opposite in some way?, I mean, dump the kernel and build it on a pc on top of a compatible hardware? Let me know what you think
Presuming developers just treat the PS4 as somewhat like we treat PCs: a generic processor that can do "math stuff", and some black-box libraries for {threading, graphics, audio, HID support, networking, ...}, then it becomes far easier to statically recompile a PS4 binary into a native PC binary: just recompile the "math stuff" for your target architecture, and then replace the linkages to libraries provided by the PS4 SDK, to libraries provided by your virtualization wrapper.
In other words, basically do the equivalent of what Emscripten does to C programs that expect to use OpenGL: compile the C to asm.js, and compile the calls OpenGL into calls to WebGL.