When we had the coalition, we were told that no one voted for this. The LibDems got slaughtered by supporting the Tories who were then the largest party.
Had they supported Brown, the defeated PM, it would have been the wrong thing to do and they would still have been slaughtered.
In the end, no one got what they voted for.
I don't look at the examples on the continent and think that any of t hem are an improvement on ours. Horse trading for prominent cabinet positions seems to abound.
The only exception would be Switzerland for me.