You say the rights are infinite. I say they're not. Find me the one that says you have the right to murder someone. You can't. Therefore the rights are not infinite.
I've seen people try to argue that God cannot be infinite because there are things that aren't God. Or, alternatively, that since God is infinite, everything must be God. Both of these are of course wrong, and you've made the same error.
Consider a set of numbers made up of all numbers higher than 5. Is it infinite? Well, since there's no highest number, you can start counting at six and keep going forever. So yes, it is infinite, even though it doesn't include the number 3.