Good lord you moron. Assuming personality type relates to pet preference.
Well, I can see INFJ's adoring the fluffy cuteness of felines.
As for the independant, ignorant, unaffectionate streak some cats have...
I doubt many would enjoy that.
INFJ's seem the type that need a grateful, happy to see you pet.
So even if they did have a cat, it would likely have developed dog-like traits, due to the excess cuddling/unecessary affection thrust upon it.
Conclusion:INFJ's should not be allowed near cats!