As for the military, I believe it will disqualify you. The navy/USMC/USCG will require 20/20 with no correction (some laser surgery is allowed). The USAF/US Army will requir 20/20 with minimal or no correction. I suppose it might be possible to get a waiver for military flying, but I highly doubt it.
Be advised that your FAA medical is only good in the US. For any of the desireable foriegn airlines, they will do their own exam and it will most likely be more thorough and exacting than in the US. I suspect that you might have a hard time with most or all of them.
There are some third world airlines which might accept a US medical, or might have very lax or no standards at all...but they are probably not good places to work.
The good news is that if you hold an FAA first class, without any restrictions or waivers (corrective lens are OK) then you will not have any trouble at most US airlines. The good thing about a SODA is that it is between you, the FAA, and the AME who issues your medical...they do not normally appear on the medical. Many US airlines just accept an FAA first class at face value with no exam.