Distemper sometimes have signs of rabies...had a female barn cat that displayed rabies like sydrome and took her to the vet. Nope, it is distemper.
Whatever the case, if it rabies, poisoning, distemper or any other sickness, unless you like playing russian roulette with your life (and your family), take the cat to the vet or animal control. Until you know what kind of illness this cat has, you can either make payment with a little downpay or apply for credit card for pets (can not remember what it was), or the cat has to be put down if it is DX with rabies. There is NO cure for rabies for animals, even there is painful treatments for rabies for humans....not fun as I heard. Very very painful.
Your choice....