There are millions of ways to influence the outcome of an election unrelated to the literal counting of votes. The person in charge of running the election can definitely impact the result with how it's run. The easiest way is by impacting how easy or hard it is to vote.
He should resign or be fired because he's working a second job and will not be able to work both jobs. One presumes the CFTOD Administrator job is a roughly 9-5 job 5 days a week, and that the election supervisor job is also 9-5 and 5 days a week. Both are certainly 40 hour work week jobs, even if you flex the working hours.
My math says there's 168 hours in a week. If you sleep for 35 and eat for 14, that leaves 119. You could technically work 80 of those, leaving 39 left over for everything else. Is that what anyone is expecting here?
If the Election Supervisor is phoning it in and not getting things done, I would expect that to be a local scandal. If the CFTOD Administrator is phoning it in and not getting things done, the CFTOD board should fire them.
All of that is independent of any conflict of interest requirements either job may have. They don't really sound like two jobs a person could hold at the same time.