If my site is ranking #1 according to Ahrefs, but it's just an image from my site ranking, then I should be able to filter this out.

The option should be: "Hide image-only rankings".

If I rank for images and have a normal listing in the SERP, then it won't be filtered out. If I rank only for the image, then it should be filtered out.

As contributed by Olaf, the same should be possible with rich snippets. There should be the ability to show only traditional rankings if that's what we want to focus on.

Side note, the Ahrefs image ranking is false - any of the images are shown as #1 in Ahrefs.