The problem, in the UK at least and possibly in the US, is not that there is too much democracy but too little.

There is a reason why the Scottish Parliament is more effective than Westminster as a democratic instrument. It is called proportional representation. The demos is represented more fully and faithfully than under a first past the post electoral system.

Selection of legislators by lot rather than election is a form of democracy. I would suggest it would be possible to have one house of a bicameral legislature elected and another produced by lottery.

Perhaps a different lottery selection could be used for each bill, making it more like a jury than a representative legislature. The proponents and opponents of the measure could present arguments and evidence as happens in a court of law.

British Columbia recently used a Citizens Assembly, selected by lot, to investigate electoral reform. It worked quite well and did not have the vested interests of elected politicians affecting its deliberations.