All the western nations DoW, send troops to feed you land tradition, make no headway at all... I don't really see a problem here. As long as you don't do something foolish like try to get too offensive minded overseas what does it matter if they are all at war with you? They have no hope of doing any sort of damage to you after all. Just set a couple stacks roving the coasts and splattering them as they land, eventually they'll come crawling for peace. If your ruler is good enough just soak up the war taxes along with the land tradition. The only nations that should cause the Ottomans even the slightest concern early on are the ones with a land border and those are just expansion opportunities waiting to happen.
One piece of advice though, if you haven't already done so change your starting NI to military drill. Taking your cores will give more than enough manpower/force limit to protect yourself with your godly forces...
The ai is dumb about DoWs, there's no way around that. As soon as you get to war with 2-3 hordes the Euros will come calling because you look weak, just accept it and smash them into bloody pulp every 5 years-like rebels except dumber...
(For more tips you could check out Edgewise's AAR: Kill. Them. All.)