Rabbits and hares chew pellets, don't they? Pellets are partially digested grass, but instead of being regurgitated, they're excreted. So, if by "chewing the cud," you mean "redigesting cellulose," then rabbits and hares do that.
It's just that I've seen this argument elsewhere, and it doesn't seem to have a definitive answer, but depends on how one looks at it.
Besides, God supposedly gave humans dominion over the animals, so where does He get off telling me which of my animals I can eat, and which I can't?
And let's not forget some other favorites:
Is your chicken salad made with hard-boiled eggs? Blasphemer!
('thou shalt not seethe a kid in his mother's milk,' so it was suggested to me that no animal products of a parent-child nature should be mixed, like chicken and eggs, or beef and cheese.)
Do you wear linen and wool
together? Blasphemer!
(The extent to which this last is taken in the Jewish faith is amazing to me. See here:
http://www.beingjewish.com/mitzvos/shatnez.html)
I went to many churches which said they had the answer to all of the above. The Old Testament is for the Jews, they told me, and the only reason it's included in the Christian bible is so we can read all the many prophecies about Christ's birth. But we don't have to follow any of the rules in the OT, not being Jews. The really important stuff, like the 10 Commandments, are repeated in the NT so we know we're still supposed to obey those, because God thinks it's funny to phrase everything like a riddle, and make us guess what he "really" means, instead of just saying it straight out like a mature divine being might do.
Then there was the time my late MIL told me, while reading her bible, that God said it is a sin to buy a puppy.
I looked up from my own (horribly secular) reading, puzzled. "It's what?"
"Right here," she says. " 'You shall not bring the cost of a prostitute or the price of a dog (into) the house of YHWH your god, for any vow, for surely both of them are an abomination to YHWH your god.*' So it's a sin for Christians to buy and sell dogs, and that includes puppies. Good Christians should never be dog breeders, unless they give the puppies away."
"What about kittens?" I asked, trying to yank on a chain.
"Noooo...kittens are all right, I guess; it doesn't say anything here about kittens. But most people don't sell kittens anyway."
"Why," I asked, truly bumfoozled now, "would buying a puppy be a crime worthy of eternal damnation and hellfire?"
"I don't know," she says, "but the bible says it is, and that's good enough for me."
I had to go get another of her books, some bible concordance, and show her that the word dog means 'male prostitute,' not 'poodle.'