Welcome to the forum! What is your girl's name? She is adorable, and while I'm just a fellow basenji lover, I can see where you think basenji. If you live near Tampa, there is a group of basenjis (and their humans) that meet on Sundays… I haven't met them yet because of church... someday I'll play hooky and meet the rest of the basenjis!
Making the crate a non-stressful, happy place is a great idea, but the issue is that nobody knows (yet) whether she relates a crate with happiness or punishment. Even though she's only 11 months old, she may have been in a couple of different homes. Someone told me once that the primary reason people surrender young dogs is because they (humans) failed at housetraining the dog. Please keep that in mind as this young girl gets used to you and the animals.
It's a new adjustment for both your pup and your cats... it will take time, but they will surprise you one day and become a pig pile of tails and paws... sunshine willing.
She's a cutie!