What is generation Z and when did that become a thing? I thought people were still millennials, this despite that being nebulous as you like and none really self identified as it.
Equally citation very much needed as "everywhere I look" is fairly meaningless here. I can't say I have seen a call from what I presume are the younger members of society to remove the whole marriage thing, rights afforded to people or otherwise make life harder or act violently. Live and let live seems fairly endemic from where I sit. We now then have opposing notions of reality, in my case I have to imagine the push back from such things would be massive and it would have crossed my path (having a good giggle at the batshit insane notions from some sets is a hobby of mine).
Some have speculated the reactionary approach to so much idiocy (commonly seen done in the name of "equality"/"diversity") will be a swing back towards whatever the opposite of that is but that is for the future. The closest I have seen is some in the equality/diversity camps have booted out gay males when it is convenient to them (in the points scoring game that is "oppression" then being a gay male, even better if they are white, does not score half as highly it would seem).