PPU 2 crashing the emulator?

You need SSSE3, not SSE3.
You don't need SSE4.1 at all.

I soon saw that it is SSSE3 and not SSE3. Will an AMD Vishera 8350 would be able to run at least Sonic CD at full FPS with JIT recompiler?
And another thing: the emulator is not supported for D3D as in the PS2 emulators, because I saw that said OpenGL is more faster, confers it?

8350 should be enough for Sonic CD with recompiler.
There are oGL (main) and d3d12 (experimental) video back ends.