I don't think it's possible to demand the resignation of the governing body. What happens is they will just throw you out of the organization if you try. That's why no one from within is going to be able to ruin the members of the Governing Body; nor are they going to listen. They are not answerable to the members--they will just disfellowship any who do try to have them removed.
Better to embarrass them. They have a major problem with pedophiles, and all it would take is enough people to blow the whistle. This is not that easy, since they disfellowship anyone who does, and they have been known to issue court gag orders on people for blowing the whistle. The victims of this, and other, abuse are gagged. And www.silentlambs.org is off limits to the members of the congregation. I don't think the Governing Body is going to listen to an "apostate" and quit.
Absolutely the only way to remove them is to cut off their funding. People should boycott donations to any of their functions, permanently. Also they should boycott the meetings and service. If this happens, there will be no money for them to operate. And they would talk to the empty Kingdumb Hell or A$$embly Hell. That is discouraging to speakers, who would be less likely to accept future assignments if they are going to keep getting boycotted. Plus, if we all boycott service, no one is going to come in. Without new recruits, the money is going to run out, and they will go belly-up. They can only live so long on their assets, and those will get eaten by the lawsuits that they have pending.
No, we cannot hope to have the Governing Body impeached. There is no system within the organization for that. But, if everyone boycotts the meetings and donations (and service), the whole organization will collapse. Without money, Kingdumb Hells get foreclosed on. Without money, they cannot hold a$$emblies. They will gripe that they are running a deficit. Then people will say #%@$ it; let them run a deficit. Let them go belly-up. Once that happens, the Tower won't have a leg to stand on, and it will come down. And the Governing Body will be fired without anywhere else to hide behind.