How to make CS conference standards clear to academics in other fields
Having been on a couple hiring panels for people like you - and indeed being in the same situation (for a long time my statement was that my two most prestigious publications were each recognized as a thing by exactly half of the people reading my CV), a couple suggestions:


Cover letters. It might be appropriate, in a cover letter, to call attention to conferences that are particularly prestigious and state that.
Reference letters. If you have authors on the CS side of things, ask them to push that expressly. Talk about how impressive your work is and what a big deal those conferences are. This is what I asked my letter writers to do. Regardless of field expectations, it's important to have your letter writers put your work in context.
If possible, try and find out who is reading things, and see if you need to do this kind of advocacy. For example, for an interdisciplinary hiring panel we had, we expressly included someone from each discipline so that they could provide context - because even though I know CS uses conferences as their major venue, I still can't distinguish between a great, good, and just okay conference.


I think it's appropriate to make the distinction in your CV as well - like the difference between submitted and invited talks, they are somewhat different animals.