One of the problems I see with AA/Semitic deep comparisons is that due to the peculiar history of the early Afro-Asiatic speakers in West Eurasia, similarities with other languages might simply be wanderwörter or even a type of early literary superstrate owing to the mobility and early literacy of the Semites. I think one ought to be extra careful with Semitic comparisons for those reasons.
That said your proposition isn't that new or outrageous. It's not commonly accepted in English language scholarship, but there is for example Sargent, France's most famous Indo-Europeanist, who believes that IE is nestled within the AA phylum. There's not much international interest in his works though, and I'm unsure whether his major works have been given translations at all.