Being a criminal doesn't affect his ability to execute his duties either, unless of course the crime is either Obstruction Of Justice or Malfeasance In Office. Which it isn't
Being convicted of a crime and serving the sentence, however, would quite possibly affect his ability to execute his duties. And I really, really, really hope I don't have to spell out why politicians shouldn't be immune to prosecution. Now, whether or not this is legally a crime or not, I'm not entirely sure; I doubt it, since there's not a chance in hell he'd have admitted it in public if it were. I'm not sure that I'd object, though, if unsolicited junk shot mailing fell under some sort of sexual harassment category, though I'm hardly qualified to argue over what the penalty ought to be.
To be clear, I'm not saying a politician's sex life is any of our business because he's a politician or because the dude's sexual proclivities are the defining characteristics of his morality. I'm saying a politician's sexual harassment history is our business because sexual harassment is Not Okay.
I'm not saying that politicians should be immune to prosecution. I'm saying that they should be permitted to vote on the passage of legislation from prison.
I would question the ability of a person in prison to examine legislation effectively in the context it deserves and to remain free from bias, especially given that it adds one hell of an obvious route for lobbyists to go ("Here, we'll make an unrelated donation to the legal team working on your appeal and..."). Then again, it might be an effective way of getting somebody to work on improving the prison system...[/sarcasm]
I'll also go ahead and say that I'm kind of flip-flopping on the degree to which the public should intervene here, and I think the main thing that gives me pause in terms of who's hurt is that a wife has an effective punishment she can level at him, while the victim of a sexual harassment thing just doesn't in most cases. But I'm starting to get a sense of mental dissonance over whether it's legit to consider professional consequences for sexual harassment but not for an affair, and I'll have to think on it some more before I can come to a conclusion that I think would be really solid. I don't think I can come down on the side of not caring about either, though, I just need to decide whether the affair is legitimately public business when a public figure is concerned or not.
As for the whole hedonistic lives thing... this isn't really the thread for that. Much as I'd like to address it, this thread is so far removed from philosophy that even I don't think there's a legitimate reason to drag us out onto a discussion of the meaning of life, so we should
probably try to find other bases for arguing.