Interesting reading...
http://www.petakillsanimals.com/
Oh, I think I've found the official answer:
http://www.peta.org/campaigns/ar-petaonpets.asp
Doesn't sound like they approve of any pet-keeping...but accept that it happens and want to encourage adoptions/rescues if you do feel you "have" to have a pet.
Few more PETA quotes:
"Let us allow the dog to disappear from our brick and concrete
jungles--from our firesides, from the leather nooses and chains
by which we enslave it." --John Bryant, Fettered Kingdoms: An
Examination of A Changing Ethic (Washington, DC: People for the
Ethical Treatment of Animals (PeTA), 1982), p. 15.
"The cat, like the dog, must disappear... We should cut the
domestic cat free from our dominance by neutering, neutering, and
more neutering, until our pathetic version of the cat ceases to
exist." --John Bryant, Fettered Kingdoms: An Examination of A
Changing Ethic (Washington, DC: People for the Ethical Treatment
of Animals (PeTA), 1982), p. 15.
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In response to your "additional details":
No, it's not madness. People are quoting PETA publications, not just giving their personal opinions.
What is real madness is your total dismissal of the evidence that everyone has posted, simply because it doesn't fit with your pre-conceived idea of what PETA stands for...