Really, Theland? The only place where that argument exists is specifically within apologist texts' attempt to redifine the Hebrew to get over this specific problem. The Hewbrew phrase 'alah gerah' notably contains connotations of "raising" (as you might expect if cud were meant literally as cud, not as 'roots around on the floor and eats poop').
Moreover, just to further render the issue a non-starter hares don't even chew their droppings, they swallow them whole:
http://www.aquavet.i12.com/Rabbit.htm
This is a biological text, thus not concerned with whether or the Bible may or may or not be talking cack (or cud). Even more importantly, this whole issue of 'caecotrophy' (swallowing cack) is acknowleged to be extremely rare and when it has been observed (incidentally, can you find some sources that indicate early-awareness of this condition - it seems to me that it was undocumented until comparatively recently, but I'm willing to be corrected) takes place during the hours of darkness, when it would be highly unsual for it to be observed and thus commonly understood behaviour of the hares. It would be orders of magnitude worse than classifying human beings as homosexual on the basis of the 10% that are.
Once again, defence of the inerrancy of the Bible relies on specious reasoning based on the opinion of vested-interests. The point remains, God presumably knows whether the hare chews the cud, since he created 'em. Whilst it would be entirely forgivable for mere men to have made understandable errors in biology given their lack of sophistication, it is entirely unforgivable for a supposedly-omnipotent and omniscient God to make basic errors.
And the bat/ bird connundrum? What of that?