How about decisions made in the chat that run counter to decisons made inthe forum?
Simple to fix, if you see one, prosecute it. I'm not aware of any problems in the rules in this area, which is what we're discussing.
How about invalidating polls for various reasons (like it was a private poll)?
Invalidating polls was an individual's behavior, not a group decision. The people who were present at the time we decided to require public polls wanted all binding polls to be public that didn't have a reason to be private, i.e. about an individual. The use of the word "official' where "binding" was intended caused controversy, and hopefully that will be fixed in this game's rules.
How about posting a poll with a short open time?
I've said many times that I don't buy into the "intermittent citizen" model in the slightest. We each play at the activity level that we are capable of handling and willing to invest. You want the event horizon beyond your own personal activity level, but what's to say that someone like DZ who appears once every two months shouldn't have that right too? Should we leave all polls open for 14 days so that every single citizen can vote in them? Hint: we'd lose all of the short attention span folks if we ran things that way.
How about elected officials that think they can make whatever decision they want irregardless of what we want as a group?
The rules have never said they can do that. If we let them do it, then we're giving them permission to act that way. If we don't like it, then run a poll and CC if the official disregards the result.
Ironic coming from you, when "the JR" was all about what the group wanted vs. what the judiciary wanted (to prove to me that the other interpretation was "reasonable"). If you had bothered to read the discussion which led to the amendment in question, you would have known that the people wanted it to mean exactly the same interpretation that I was arguing for. 1st 3 days, can appoint only someone without an office, after 3 days can appoint someone who does have an office.
What about elected officials that think only they can post polls about topics within their sphere?
Some of us want to be polite to other officials and let them run their own department. Others of us want the lazy bums to get off their duff and do some work. Still others are afraid that if they do step outside their job description, legal action is sure to follow.
The cure for this is education and support. A little leadership by example would do wonders too.
To be completely honest with you, I'd take anything which might help us get more people and keep them. Strider made the same sweeping generalization (figure it out and fix it) at the beginning of the last 3 games, but refused to pony up on examples.

I'm very happy you're willing to discuss specifics. And please do counter if you don't agree with my assessment of these areas -- I
can be convinced to change my mind, when the counter argument is rational.