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.