If you however are fixated on getting games written for Microsoft Windows to work on Linux, then a different mindset, tools and approach is required; understanding internals and providing functional substitution. Please read #Game technicality below.

For example, a call to load, transform and shade vertices on DirectX may be re-written from scratch in a new .dll/.so owned by Wine, providing their own "hypothetical" belief on what the function may be doing underneath, and forward it instead to an OpenGL alternative, effectively trying to achieve similar results. Since these calls are direct equivalents and treated "as if" DirectX was running, performance is not impacted. (with the exception of the starting overhead to interop with these)