The Jesus–Muhammad binary already structured medieval Christian polemic in full form

Evidence

In much of this, the Christian author compares (explicitly or implicitly) Muhammad with Jesus: Christ shunning sex and worldly power, Muhammad eagerly pursuing both; Christ prophesying true things, Muhammad failing to foresee his defeats in battle; Christ producing miracles, Muhammad none. He carries this contrast into his description of Muhammad’s death. Muhammad, he says, ordered that his companions not bury him after his death, for angels would come within three days to carry his body up to heaven. At his death, his disciples did as he had ordered: “after they had waited for three days, his odor changed and their hopes of his being taken up to heaven disappeared. Disappointed by his illusory promises and realizing that he had lied, they buried him.” — John V. Tolan, Saracens, 395

Categorization

• XREF: The anti-Christ/anti-prophet duality here is the direct ancestor of the modern Jesus-as-loving-vs-Islam-as-violent binary used across anti-Muslim polemic.