The fact that Government is being governed according to some of your wishes is coincidental. It's only in a democracy (or an autocracy where you are the ruling party) where the fact that some of your wishes are the laws is built in to the fabric of the system.
The word compromise is an interesting choice - a comprimise is an agreement between several parties in which all sides agree on a less then optimal solution for themselves in favour of a resolution the group can agree to. It's essentially a democracy - it's certainly the basis for participatory democracy.
I'm not sure where the on-off switch analogy is coming from - it's definitely not my opinion - hence the Churchhill comparison. Also, on-off seems very binary.
On a similar note, I would say that the comparison to the 2016 US Elections feels a little simplified - being given a choice of two parites doesn't mean you are being given a choice representing your wishes. At best, it can mean you are being given two options from a range on a spectrum, but even then the spectrum and gap between political parties is normally more then a single issue.
The American Left, for instance, would in Europe be on a fairly right wing part of the spectrum.