Who would sit in the Lords non temporal would be up to the various world view groups them selves.
Firstly, what on earth is a
world view group - sounds suspiciously like organised religions to me as I suspect most people with a world view do not join an organisation (a
world view group) but treat it as a largely personal and private matter.
Secondly, certainly in the UK the whole trend has been away from being seen to be part of an organised religion (or
world view group) - so to reform the Lords to base it on organised groups who are increasingly losing their influence within broader society seems bonkers.
And finally and most importantly - if you have 26 places, who decides which
world view group is important enough to get an automatic seat (or seats) and which don't. There are surely hundreds of groups of this kind, including countless religious denominations and sects which in an increasingly fragmented and diverse society each represent tiny proportions of the population. So which
world view groups are included and which aren't. And what about the proportion of the population (almost certainly the majority) who look at them all and say 'well none of the them represent my world view sufficiently for me to be part of that
world view group'.