You should be able to use the same API Key / Secret for both. We haven't tested with InviteX, but that's the best way to proceed because:
* If they re-include the Api key on the page, it has a much less chance of conflicting with JFBConnect since it will be the same key
* Your 'app' in general is best to be managed in one place. If you get more invitations and logins to one app, it increases it's 'popularity' which is a good thing in Facebook's eyes for relevance.
I hope that helps explain. If there's a reason you can't use the same key in both extensions, let us know. We'd like to know why.
Thanks,
Alex