It's two different questions you ask, and both are really broad.
Democracy has been mostly feasible. I think it's overall a positive thing. It definitely has its problems, but it has been pretty stable, for instance with regard to succession of power -- if you don't like the current person in power, you can elect them away in 4 or 5 years. Not wait for the king to die, or be silenced by a dictator for expressing opposition. But it also comes with its own problems. There certainly have still been civil wars that have brewed up under a democracy, or separatist movements from people that feel the majority democracy has failed their group.
One particular problem of democracy is that it encourages short-term rewards instead of long-term plans. A representative seeks to be re-elected, and the general populations needs to see the results of that representative's actions within 2 years. And even if they have a longer term, they just have that amount of time before the next guy can just overturn what they do, or the foundations of their plan crumble. We push a problem, like a deficit, off for the next generation to deal with. Democracy gets bogged down with red tape, lobbying, and gives the most power to the media to influence the general public. The average person has no idea what the best tax plan is, or exactly which way a city or public resource should be planned, or the best way to deal with any complicated, multi-faceted problem. Laws are complicated. Elections are decided by a few, often superficial, topics, or by the demeanor of the person representing the idea.
Will a democracy eventually fall apart, or lead to mob rule, or be overtaken? Perhaps. All it could take is two factions that don't want to compromise to grow further and further apart, but there's also plenty of counter-measures to alleviate the pressure and let people vent.
"will the innocent men being harrassed get their rights?"
What rights do you speak of? I'm not sure I understand the premise of the question. What is the right to not be "harassed"? Any time that a once-majority became a minority, or has felt threatened by another group, it usually has lead to strife, alienation, and conflict.
Reservation laws? Not exactly sure what you mean, but I think you'd have a major conflict brewing, and societal cohesion falling apart, once people start talking about putting other people on reservations.
But to respond to your specific point of alimony: Alimony laws strongly tend to give the wife/mother of the marriage the better deal, true. I don't really see this going away. I think it's human nature from a judgemental point of view to give the mother the easier time. It'd be nice if divorce rates in general could go down instead, along with single mother rates, in a society that encouraged family stability...