TL/DR Summary: No. And, AFAIK, there are no Mormon teachings at all that have spread to other traditions. Here's why.
Ecclesiologists who study the history of the church sometimes distinguish between four primary "branches" of christendom: the Roman Catholic church, the Eastern Orthodox church, the Protestant church, and the "bible cults." Protestant is an umbrella term that refers to theological traditions that are rooted in the Protestant Reformation of the sixteenth century. Protestantism is known for its theological diversity, and a quick glance at a World Almanac shows dozens of Protestant denominations worldwide that each report at least 5,000 houses of worship, extending into the millions for larger denominations.
This diversity of theological traditions is due, in part, to the fact that -- unlike the Roman Catholic and Eastern Orthodox churches -- Protestantism lacks a single, unifying authoritative leader or leaders that can define for adherents what is and isn't considered acceptable doctrine. In fact, the Protestant Reformation itself grew out of the rejection of the notion of the authority of clergymen and church history, in favor of consulting the bible itself. The event that is regarded as the "official" beginning of the Reformation was Martin Luther nailing his 95 Theses to the door of the church at Wittenberg, Germany, and the central topic addressed in that document was the official [Roman Catholic] church practice of selling "Indulgences," which Luther believed was an offense against God because, he said, it was not based on sound interpretation of scripture.
So, the word "Protestant" encompasses a wide set of beliefs. In general terms, the Protestant church is differentiated by it's emphasis on the authority of scripture over both church tradition and any extra-biblical teachings of clergymen when seeking to determine what is pleasing to God (see "Sola Scriptura" (1), (2)). There is also a common, though not unanimous adherence to the other "Solas" of the Reformation (see the same references as above). Other than that, however, there are few specifically Protestant points of difference that can be made which will apply to all churches that self-identify as Protestant.
The history of the Mormon church, on the other hand, extends back to 1830 (see "Organization of the Church" sub-heading in the reference). The intervening two hundred-some years provided plenty of time for the development of many doctrines unique to various Protestant theological traditions, and by 1830, many had well established, comprehensively defined sets of beliefs. That is, in many cases there was simply no need to adopt additional doctrine, from Mormonism or elsewhere. (In many denominations, the process of adopting new doctrine is a complex and lengthy process itself). Finally, there is the widespread contemporary categorization of Mormonism as a "bible cult" by many, though not all denominations. (Note that this C.SE response does not attempt to address the issue of whether or not that categorization is accurate, but simply notes that such categorization in fact exists).
While my familiarity with Mormon doctrine is at a fairly "introductory" level, and based primarily on a number of conversations with some LDS adherents, my present understanding is that at the basis of Joseph Smith's set of teachings is the notion that all translations of the bible, except for his own, are flawed and incomplete, lacking the additional books endorsed by Smith (the "Book of Mormon"), as well as the modifications made to various books in the Protestant OT & NT, which Smith said were provided to him by one he called "Moroni." (Reference). Since all doctrine established outside of the Mormon church is based on translations other than Smith's, it makes sense that Mormon doctrines remain within those churches that teach Smith's doctrines, and they have not penetrated other traditions.