Google Books has hundreds of thousands of hits for in the (grand) scheme of things - an idiomatic usage that even gets its own dictionary definition...
in the (grand) scheme of things Cambridge Dictionary
In the scheme of things, having lots of money isn't as important as having friends.
I assume the universal experience refers to some "quintessential" version of how all human beings do or should experience their existence, but it all sounds a bit waffly to me (there's not a single instance of OP's highlighted text in Google Books).
My guess is the cited writer was thinking of using the idiomatic standard as defined above, but decided that would be "clichéd" (showing lack of originality). Personally I think his attempt to "improve" things is a complete failure - it's not stylistically "interesting", nor does it clearly convey anything more than standard expression.
TL;DR: The cited text is pointlessly verbose waffle / flannel that might more clearly have been expressed as all things considered, taking everything into account.