Whence the divergence of these two words (which both claim roots from OE "hwinsian")? I've never heard an American say "whinge", nor conversely a UKer utter "whine". Is "whine" exclusive to the US? Are there regions of the US that favor "whinge"?

Also, I believe "whinge" is aspirated when used in the UK; do Zildians/Australians pronounce it similarly (or is "whine" in use as well)? The H is quite clear when I pronounce "whine", but then I tend to similarly aspirate the Hs in "what", "which", "whether", etc. Is the more common USn approach to pronounce it exactly the same as "wine"?