Yes, Sir Michael Caine is a Micklethwaite.
He was born Maurice Joseph Micklewhite in South London in 1933 and using the censuses and parish registers available online I have traced his family back to Joseph Micklewait who married Phillis Price Wagner in 1809.
As online records are not complete, that’s where the story stops for now, but recent Micklewhites in London are in the main descended from this couple. I noticed that some other Micklethwaites were recorded as Micklewhite in the 1700s and 1800s showing that some Londoners have always had difficulty pronouncing our name.
I’m not going to post all the details of Sir Michael’s line here yet as I hope to have an article published in a magazine, but do contact me if you want more details.