What, there are no ill-gotten gains in Wales, my lord?
I totally agree with you on the redundant "have got." But we part on the issue of "gotten." It's the correct past participle of "get," e.g., "I have gotten more prone to defenestration."
It's more correct than your universal use of "got" across the pond. Of course, I'm assuming that your aversion to "gotten" is partially because it connotes the Americanization, which is read as "corruption," of your English, which you hold to be the original English language. But this is not so. Gotten predates the United States by several centuries and was prevalent on the Isles until the 18th century--when it was apparently forgotten. ;-)