Play nomadic. Pack up your show and cross over to Greece. Surrender your eastern cities, let them starve the cities out and take them but don't bother with anything more than a one-peasant garrison. Leave eggy alone while you move into Greece. It's easier prey for you, since hoplitai are just Greek for 'sitting ducks'. Also, Italy, whose legionnaires are also Latin for the same. Take those out and you've got a far more profitable and much safer base of operations. Then you can adopt my Brutii strategy for a 'shock and awe' campaign on Egypt: Phase 1, 10 turns of diplomatic bribing, phase 2, kitting out 2-3-4 armies to land simultaneously at various points in the Egyptian empire while producing Grand Fleets to get naval superiority from the Egyptians and blockade them until they cry mummy, to borrow Miles' expression ;-) Then phase 3, complete annihilation based on three-pronged attack mixed with manoeuvre and splitting of forces to bewilder the AI. Let Pontus live as a bulwark against Egypt. If Seleucia dies, you can't help it. They're pretty much defenceless anyway. If you want to stop Egypt from touching Seleucia, try to build a fort at the crossing south of Seleucia. Chances are that the Egyptians have possession of Dumatha, so they will launch attacks from the deep desert. Build a fort at the crossing, and a watchtower at the extreme south to watch for Eggies.

If you can't fight them, bribe them. But to do that you need to make more than 2-3k a turn. To do that you need Greece and Rome, since your moneymaking Asia Minor is definitely NOT safe.

Egypt cannot be beaten in a casual campaign. Lots of planning and preparation needed to weaken them.