Zife was the lawfully elected holder of the office of President. While the election itself may be lawfull
Yes, there you have it: The election was lawful.
the legetimacy of it can certainly be questioned. Imagine that shortly after the election Zife reappears and tells his story of how Starfleet officers forced him to resign at gunpoint and how he barely escaped beit assasinated afterwards. Is it not possible that the election would be set aside and Zife permitted to finish his term? Let's ignore the whole question of why he was forced out.
I really don't think you
can set aside the question of why Ross forced him out. Zife is as much of a criminal as Ross is, frankly.
But let's go with that. Let's assume it's all been revealed and that the Klingons magically decide they don't want a war, and that Section 31's involvement has been made aware to everyone.
What would realistically happen? Realistically, no, Zife would not just be allowed to finish his term. His numerous crimes would preclude that, as would the fact that, for better or for worse, he
did resign.
Let's presume that Zife reappears in, say, November 2379, shortly after NEM.
Realistically, at least one Federation grand jury and a Starfleet court-martial would be convened. Starfleet Captain Jean-Luc Picard, Admiral William Ross, Admiral Alynna Nechayev, Admiral Edward Jellico, Admiral Mamoru Nakamura, and Federation Ambassador to Tezwa Lagan Sera would be indicted for their conspiracy to force President Zife, Presidential Chief of Staff Koll Azernal, and Federation Secretary of Military Intelligence Nelina Quafina to resign. The Starfleet officers would presumably be facing court-martial and Ambassador Lagan would be facing a civilian court. I imagine that one of the specific charges would be treason. Another of the charges would be conspiracy to obstruct justice, since by choosing to force Zife out, they were attempting to preserve Azernal's plot to obstruct the true origins of the nadion pulse cannons on Tezwa. I leave it to others more knowledgeable than myself about military law to determine what other charges the Starfleet officers would likely face.
Similarly, Zife, Azernal, and Quafina would be facing indictments. The three of them would be indicted for their conspiracy to violate the Khitomer Accords by planting the nadion pulse cannons on Tezwa. Zife and Azernal would likely be indicted for their failure to brief the Klingons or Starfleet on the pulse cannons' presence, leading to thousands of Klingon deaths and the reckless endangerment of a Federation starship. There's a good chance that Zife would be indicted for the crime of ordering a war of aggression by ordering Picard to conquer Tezwa before the Klingons did. Picard may be indicted for following this illegal order rather than disobeying it.
And meanwhile, William Ross and Section 31 agents L'Haan of Vulcan and Dietz would be facing indictments for conspiracy to commit murder. Ross would be charged as an accessory, L'Haan and her agents as the actual attempted murderers.
Meanwhile, both the Klingon Empire and Tezwa would probably be itching to have Zife, Azernal, and Quafina extradited to their territory to face charges for the deaths of thousands of Klingons and untold millions of Tezwans. If we want to get more realistic, the Federation would likely refuse. This would exacerbate tensions between the Klingons and the Federation a great deal. Even if the Klingons did not decide to go to war, I cannot imagine they would not sunder the Khitomer Accords. I would be kind of surprised if Chancellor Martok survived; I'd bet good money he would be challenged for the chancellorship by Councillor Kopek, either overtly or through dishonorable means. I wouldn't be surprised to see Kopek in the Chancellor's seat afterwards.
(Tezwa is basically the
Star Trek galaxy's Somalia or Afghanistan in the wake of the Klingon and Federation invasions: A poor, devastated culture unable to exert any of its will on the interstellar stage. Their demands for extradition would lead to nothing.)
There is a distinct possibility that President Bacco and her COS, Esperanza Piñiero, would face indictments for their decision to abet in Azernal's plans to obstruct justice by continuing to cover up Zife's and Ross's crimes (as would the admiral that Esperanza heard it from).
I think there's a strong chance that there would be a movement in the Federation Council to impeach President Bacco. If she emphasizes that it was her honest belief that exposing Zife and Ross would risk millions of lives, the she
may avoid being removed from office. Maybe. Though given the harsher relations between Bacco and the Council in late 2379/early 2380 than later in her term, I would probably bet that she'd be removed from office by impeachment, triggering yet another special election.
This may or may not lead to an incredible amount of political instability in the Federation, and/or to major constitutional reform.
But there is no reasonable way that Zife's resignation or the 2379 election would be un-done. In fact, if the Federation is anything like the U.S. in this regard, I doubt that they would even have the constitutional authority to do so. Zife did leave office; this is a fact. An election was held for a newly-generated 4-year term; this is a fact. These things cannot be un-done.
That is how it would realistically play out: A lot of ruined careers and a lot of trials and a lot of jail time. A ruined alliance, an unstable government on Earth, a nationalist extremist government on Qo'noS. And a Federation that may well not have been able to survive the impending Borg invasion.
How is Ross going to affect Starfleet? How about having a few of his old Admiral buddies over for an evening of poker and shop talk?
That's not what I asked. I asked, how is he going to influence Starfleet without the President getting wind of it? People talk. Stuff like that gets noticed and reported upon. Yeah, Colin Powell is an influential guy. And guess what? Reporters pay attention to hm and report on his activities because of it.