Your source is a PETA website that downplays its identity (it's in the footer). That not a credible source on islamic practice in the real world.
I’m an Indian Muslim (born and raised in KSA), and while the source is from a PETA website it’s what we’ve practiced. You can independently look up the Hadith (narrations) and see if they are valid.
Although modern Muslims have become a lot more meat dependent due to modern agriculture practices (as have most societies regardless of faith), I would argue that for Muslims vegetarianism or moderation in meat consumption isn’t a repugnant idea as it is for most folks in the west.