Well, I was half reluctant to 'spill the beans' on what I think should be done, but you don't seem to object too much. Really, this is almost a textbook Axe-rush position we find ourselves in.
Personally I'd go after Kublai Kahn ... he's much closer and he's Creative, which can be a real pain for us non-Creative types as the game wears on and his established cities get their borders creeping increasingly into our turf. Obviously knocking off Mongolia isn't one of the variants, but nonetheless I still think that he looms as a prospective problem if left unchecked and possibly our best bet for now due to him being 'on our doorstep'.
Istanbul's relatively tight food situation is a little difficult for us to work around in terms of whip-and-regrow, and Edirne is worse in terms of this, so forest chops might need to play a larger part. Therefore at least one more Worker would seem appropriate, (and even possibly a Settler for grabbing that sweet spot that woopdeedoo identified to our north east {incl. Marble [for The Oracle and Hagia Sophia]} might not be completely out of the question) ...
We therefore should be careful amount managing our whipping in Istanbul, and try to get two population whips when it's at four or more population points in order to get two Axemen out in one whipping cycle: With a whip that converts one population point to 30

if we restrict a new build in Istanbul to producing between 1

and 4

in the first turn (taking into account

overflow from whatever was last built), we can in the next turn whip two population points to produce 60

; one 35

Axeman and nearly all of another 35

Axeman through whip overflow. This means two-ish new units for only one period of whip unhappiness. In the meantime we can chop out and even 'naturally' build more Axemen as whip anger cools off before going again. Confused already?
We will raise some

as we capture foreign cities, but nurturing a few cottages in Istanbul after we build our army won't hurt.
I admit that I do like Iron Working but I'm also mindful of the proposal to Oracle slingshot Theology and get a Great Prophet bulb toward Divine Right, which means getting a lot of those religious tech's 'in the bag'.
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Anyway ... that's one proposal for consideration ... or two if we're going to consider Oracle > Theology ... if the team wants to hit Greece or Egypt instead, or just expand 'organically' instead and war later, then we can do that.