I think that 'adamant' would be a good word to describe this behavior.
Adamant is a word that can be used to describe a stubborn person that is unwilling to be persuaded into a change of mind. This would be a good word because in the sentence, the subject is doing something that would be considered slightly extreme to the outsider for what he/she wants. From these actions, we can see that he/she is unwilling to change their mind until they achieve their goal, which in this case is moving the cat's crate to the house.
