Gibbon argues that the rise of Islam was a crucial factor in the decline and fall of the Western Roman Empire.Indeed, Arab armies were taking ever greater bites into the Levant -- but they weren't "Islamic" yet.
The big old Mo' was born about 570, started his bogus cult around 610. The battles that broke Sassanid Persia were in 636, a few years after his death. So, no.
Sidebars that haven't been seen for a while: