Why would you exclude internationals when OP is international too?
And, no, international students (i.e. on F1 visas, but not those with foreign degrees) do not get a boost. If your undergrad was in the US, you are treated exactly as an American with your stats would be (probably URM status and all, though I'm not sure about that part).
And, yes, international students are eligible for merit aid (I know, huge difference from undergrad!) but not for federal loans and federal work study.
Are you set on Columbia, and is money absolutely not an issue for you? Then go ahead and ED. If you'd rather go to Chicago, perhaps, or shoot for $s at MVBP, or even DCG, then don't ED.