You're generalising quite a bit when you say 'Western Society'. I don't think that France/Germany/Sweden/Canada - maybe not even Japan is going to have a significant problem with the idea of redistributing the gains from automation. And ultimately, the democratic pressures to do so can only be held back for so long - even the best right-wing propaganda is going to struggle to tell people that black is white.

My own opinion is that this process will start by 'dealing' with the problems we're seeing right now with funding for an ever increasingly elderly population. That will take a huge amount of resources just to get us back to the same position we were in in the early 1980s.

Once that has been 'paid down', I think that states will start providing more basic services for free, and reducing taxation, rather than giving money directly. So, there will still be incentives for people to earn, but the salaries that they are willing to accept will be less. If there's no income tax up to a certain level and your water/energy/public transport is provided for free then you can afford to accept a much lower wage, which companies will be still willing to pay whilst the move over the full automation is taking place. On top for that, companies will be able to afford to offer more hybrid work/training programmes at these lower wages, meaning that people can get developed in a skill that has value in the new economy whilst they are working.