That site I linked covers both Protestant and Catholic interpretations of the bible, and you have selected the heretical portion. If you'd like the most recent commentary by the U.S Bishops you may find it here, and they affirm it is a non-literal statement upon the Davidic Kingship.
http://www.usccb.org/bible/isaiah/11
Your beloved Catholic Answers likewise states that there is no, in their words, "Doggie Heaven"
https://www.catholic.com/qa/do-animals-have-souls-like-human-beings.
Animals do not have immortal souls according to Catholic Tradition, they have material souls bound to their flesh that perishes upon death. This is in-keeping with ancient Jewish thought on the matter, however they went a step further and denied a human afterlife as well.
Being made in the image of God means just that, being made the closest to God. Older theologians would describe this in terms of sapience, but more modern ones shy away from it as it becomes more readily apparent animals actually do retain memories and display emotions.
This is why Catholicism does not recognise a concept of animal rights. Even in
Laudato Si, a document by Francis affirming John Paul II's opinions on Environmentalism and Stewardship the Catholic Church affirms it is acceptable to use and experiment on animals. If they had an eternal aspect, this would not be allowed.
Catholicism is not a buffet Jacob, it's a set course meal.