Forget your Wonder production bonus. You have War Chariots.
Open Tradition, fill left side of Honor, return to fill Tradition, whilst waiting for Rationalism either fill Honor or work on Commerce. Maybe open Aesthetics.
Start with Pottery to maximise chances of an OK Pantheon, then Archery and Worker techs before Writing and Philosophy. You do not need to keep up in the early tech race.
Only build a Settler if there's an amazing location or you're inland and not on Pangaea. You want to get your National Wonders up ASAP. Buildings that do not unlock NWs or yield decent growth/production bonuses are low priority.
When you steal workers from CSs, do not make peace. They are target practice, nothing else. Acquire their luxuries with Citadels, not Diplomacy.
Your army should be at least three archery units, at least two War Chariots, at least two sword/spear line, and a medic II. Buy and build them as high priorities. Your line troops should aim for Cover II, March and Siege. All of your ranged units need Range and Logistics. Scouting III is good, but not essential.
Now, go and kill everyone else. Your infantry advance on cities in a line whilst your chariots aggressively protect their flanks and add firepower when a tough or fast unit threatens your archers. Maintain a supply of well trained archers and cavalry - if your punching bag CSs have any HP at the end of your turn, you're not optimally farming XP - to garrison your conquests. If Knights start appearing, warehouse your Chariots and take it steady - they can banzai charge your ranged units.
You can maintain an overspend for quite a while by breaking in new units on Barbarians, bulldozing improvements, and selling captured Workers. When you get two Capitals, their Luxury tiles will cover most of your expenses.
Focus on military techs. Burn everything that is not a capital, I don't care if it's got Petra. Use Citadels to claim and steal luxuries you do not have; five capitals in, the number of enemies with unique luxuries will fall - do not be shy of laying a chain of two or three citadels to claim a single Citrus.
The best Wonders to capture are Stonehenge, Great Wall (best done when you have a Horseman unit, don't burn off two GGs who could grab you a distant Cocoa), Notre Dame, the lesser Faith generators, Statue of Zeus (you can often build it), Pyramids and the high Culture yielding ones (especially filled up Great Work warehouses). Great Library gets an honourable mention, as it'll often be the only place you've got to put Great Works.
Don't march halfway across the world to capture the best city when there's two easier targets in the way. You need to keep your gains manageable and defensible. After two or three wars, everyone you know will hate you; half of them so much, they'll want to fight to the death. Oblige them.
A Friendly Militaristic CS will yield an Archer if you Pledge and clear a Barb camp for them. Religious ones are worth courting early on, unless you've already made them Wary, you monster. If a Militaristic CS can give you Berserkers or Samurai, consider aiming for a couple. If you can get Keshik, fight tooth and nail for 'em.
The usual 'don't bother with Religion' Deity advice does not apply. You want Divine Inspiration (the AI hardly ever bothers), and then use Great Prophets on your captured Holy Cities with multiple Wonders. If you can get Holy Warriors or a boost for Temples as well, you're laughing. Pantheons that generate Faith are best.
Forget long trade routes. There'll be so much wasteland, they'll be eaten within ten turns.