Ultra High Calvinism:
It seems unhelpful to make these distinctions, as it is unnecessarily causing division.
Further, it seems pointless to distinguish "American Baptist" from "Arminianism", since not only is it factually incorrect (many American Baptists are Calvinists), but the difference is in eternal security. And the difference between Arminianism and Calvinism is based on soteriology, not eternal security. Not to mention that the Arminian position is not dogmatic on eternal security (read the 5 articles of the Remonstrance).