I discovered a link to a book called "Genealogy of the VanWinkle Family..." There isn't a VanWinkle One Name Project and I don't know how to share this source.
A link to a PDF version of this book: https://rucore.libraries.rutgers.edu/rutgers-lib/19419/
Its downloadable and looks like someone deconstructed the hardcopy and ran it through a document scanner.
Description copied from the site: Description300 page genealogical listing of Van Winkle family in America, with name index, compiled by Jersey City historian David Van Winkle. Entries list only birth, death and marriage information, without locations, but narrative sections suggest bulk of entries are in Hudson and Bergen Counties, NJ, and later in Kentucky.
Introductory sections describe history of Dutch settlement in America, and homes and customs in Bergen, the Dutch village that became a part of Jersey City. Narrative of Jacob Wallingen and his life in the village of Winkel, Netherlands and his settlement in New Netherlands where he married Trintje Jacobs. Their descendants make up the subsequent list.