No, there would be no conflict I can see.
The two relevant questions about conflict in having membership in both the CoS and other organizations...
1. Is the other organization explicitly opposed to, self-declared enemies of, the CoS?
2. Does the other organization actively work towards explicitly anti-Satanic goals or openly endorse criminal activities?
Many members of the CoS belong to an extremely wide variety of different organizations without issue.
In this specific case I see no problems whatsoever.
I think of the future as branching probability streams.
- Elon Musk