Is it correct to say: "O Allah, bestow Your prayers, peace, and blessings upon Muhammad and upon the family of Muhammad, as You have bestowed Your prayers, peace, and blessings upon Ibrahim and upon the family of Ibrahim" in the Ibrahimiyyah prayer?

If the prayer upon the Prophet (peace be upon him) is performed within the Salah, then one should adhere to the prescribed wordings. Adding a word of the same genre as the prayer does not invalidate it. However, if it is performed outside of Salah, the matter is broad, but adhering to what has been reported in the narrations is more preferable.