Keep in mind that the Anglicans and some other Protestant denominations revised their liturgies after 1970 to make them more like the "Novus Ordo," so if your experience is much after 1970, the "resemblance" may not be coincidental, but may be a deliberate imitation on the part of the Protestant group. For example, the Anglican "Rite II" (promulgated in 1979) is basically the NO Mass with some Protestant tweaking done on it.
i also have experienced Methodist liturgy (this was quite traditional) and relized the similar parallels between this and the Novus Ordo liturgy.