I'm certain that you'll find one group of Muslims that say it's fine to be Muslim and Furry, and you'll find a different group of Muslims that say it's a sin to be Muslim and furry.
On the other hand, one of the earliest books in Islam was Kalilah wa Dimnah, a book of animal stories. (It's from Shia Islam, so many copies are beautifully illustrated.)
I'm certain that you'll find one group of Muslims that say it's fine to be Muslim and Furry, and you'll find a different group of Muslims that say it's a sin to be Muslim and furry.
On the other hand, one of the earliest books in Islam was Kalilah wa Dimnah, a book of animal stories. (It's from Shia Islam, so many copies are beautifully illustrated.)