Just enjoy the cat being silly. It's like 2 pets in one. I think it would be funny. I have a large parrot who thinks she's a dog (I have 2 dogs). She barks, plays with dog toys and jumps around with the dogs. She even tells me she wants to go out to potty and many times will sleep on the couch on top the dogs. It's great!!!
Just enjoy it! My cat was a lazy cat, but when she got outside she would climb up trees. It was really funny to watch, so just play with it. It's still a cat so yeah. oh its a tabby then YES it is. well is it like different orange stripes