Some members of my faction have made me Operator of thier facils because I have higher trading stat.
So far this has not been a problem.
I don't see a way of "unmaking" myself operator should I want to.
Don't see any thing in rules how to do it either.
How can I do this should I want to?
There is currently no way of unmaking yourself operator of facilities (one of those Inventory 2.0 things, I believe). However, if you really don't want to operate any (doesn't hurt you at all if you do, but eh), tell the people and ask nicely for them to assign it to someone else.