That's not true either.
There are plenty of materialists who think the universe is not computable, thus it's totally possible to believe that the mind is not computable despite being entirely physical.
So, if a macro phenomena, i.e. the human mind, is uncomputable, then it is not emergent from the low computable physical substrate.
I don't think your argument will seem compelling to anyone who doesn't already have a strong prior belief that the mind is non-physical.