In one of the congregations I use to go to, we were encouraged to feed our pets with food that did not have by-products in it. I never ran into any anti-pet ownership remarks.
I wouldn't be without my pets. They are my best friends in the entire world, and will continue to be. I've two cats and two dogs.
Islam prohibits having dogs as pets. Cats are ok - but dogs and pigs are considered 'dirty'. Personally I think the prophet Mohammed had a quirk about it all. I am friends with a Muslim family, but they cannot visit my home due to my pets. I respect their beliefs, but find this particular one absolutely rediculas.
Mimilly