I can’t say that I’m very familiar with the UK laws in depth other than that they have been in operation for many years and are generally considered effective.
For referenda there’s no reason you can’t have a publicly funded campaign for yes and no and limit private advertising, we have something like that here in Australia.
Sortition, random selection, when combined with an elected body has a lot of benefits. It has the advantage of having professional politicians with institutional knowledge and relationships while also having a body the that is actually representative of the larger population.
I call myself ‘functionally atheist’. I’m philosophically agnostic in that I hold no strong opinion on the existence of a god/gods as that is fundamentally unknowable but for all practical purposes I act as though there is no god.