So we must remain in a situation that, to the majority of those who bothered to vote, was unacceptable, simply to retain "political stability"?
Politicians are elected to facilitate the lives of their constituents. If they cannot do that without the country becoming "poliutically unstable" then that's a problem they need to address. There is no need for the electorate to tolerate things they don't want simply because the measures needed to change it are a little tricky.
Further than that, I would suggest that the current "instability" (which is, compared to some other EU nations, nothing of the sort) would be a walk in the park if we remained in the EU whilst the Euromaniacs embarked on the latest phase of their "ever closer Union" Crusade.