I developed a Custom Language plugin based on this this tutorial.
Now I'd like to disable/suppress Inspection with message Non-ASCII characters in an identifier for specific identifiers via Plugin API. I use these identifiers which start with '#' as sections headers and do not want any default highlightning/inspections for them.

IntelliJ will automatically add a suppress option when you add a quick fix (then go "right") from there. If you only want a suppress quick fix, you can add it like this in your holder.registerProblem(...)