I'm not sure that's a great thing, but you're never going to find a consensus that's both palatable to a majority and the right thing to do (of course, "right thing" being what I'm arbitrarily deciding is "right" based on my own values).
What's the compromise between pro-slavery and anti-slavery? Thank god argument to moderation wasn't the solution here.
The slavery compromise was exactly that. First the 3/5th agreement, then the Missouri compromise, then finally, when one side got all of the power (which is what the system is supposed to mitigate the chances of) a shooting war.
Lincoln likely wouldn't have gone quite so agro on slavery if not for succession.
And there likely wouldn't have been a United States if there hadn't been any compromises on slavery. The two sides would have split at the outset, and either 1) neither would have been able to amass enough influence on the continent and they'd have been reabsorbed by a European power 2) after a hundred years of independent growth and simmering hatred, the two nation's would have had a war even more disastrous than the American civil war.
And the important thing is often that decisions don't happen in isolation. A moderate middle ground solution that fails often lends a lot of weight to the next round of negotiations when people decide what to try after compromise solution #1 fails.
The system survives long enough to make it to the next round of negotiations
Which, given that the US Constitution of "minimize the damage one person / group can do" is the longest standing constitution currently, I think it's one of the better solutions.
The theory being that if the two sides can find common ground, it's actually a good idea.