(Note that a 'parish council' here is for a civil parish, that is the smallest type of administrative unit in the UK; it's not a church parish)
At that point, you will probably be relieved that those idiots aren't allowed do anything important.
I suppose in principle if local authorities were more important, you might get more competent people running for election onto them, but given the average quality of _national_ backbenchers, this seems optimistic.
I wish there was an empirical way of screening out moral puritan types with the aim of directly eliminating their influence, but I'm not sure that can be done without endangering democracy itself. A more difficult but much more ethical approach I think is to try and create new social norms that make aggressive conformity something to be ashamed rather than proud of, puritanism in any direction should be made into a sign of weakness rather than strength. We need a society that instinctively defends "witches" when the witch-hunters are in town.
That's impossible; political parties naturally emerge in democracies. Very few countries have the official recognition of parties that the US does (party registration, official primaries etc) but all democracies have political parties.
Non-partisan democracies do exist, some of them are even directly associated with the UK such as the Falkland Islands and the Isle of Man which are roughly the size of a British parish and a council respectively.