Well I myself am definitely a builder. I like to have all improvements in a city if possible, once this is achieved then it goes onto pure military production. This idea that having Cathedrals and temples somehow injures your economy seems a little odd to me; if you have 20 cities with 20 temples the 20 gpt upkeep is hardly a big deal is it? The extra happiness helps stave off war weariness and promotes WLTKD, which reduces corruption. The happiness benefit of Cathedrals/Collosseums is greater and the expense is negligible compared to the income of a well developed city.
The second notion I find odd is that builders don't wage wars. There are several periods in any game where, even using a 'build everything' approach, you will end up with all your core cities doing nothing but pumping out units, for example in my current game I land-grabbed 16 cities which, by halfway through the Medieval Age, ALL had every improvement I could build and were churning out a mixture of Knights, Muskets and Catapults. I researched Military Tradition, upgraded to 30-40 Cannon and 60 Cavalry and went on to double the size of my territory in a series of short, brutal wars. Another Couple of wars saw me exterminate the French in 10 turns once I developed Tanks, then boot the Scandinavians off 'my' continent with the arrival of Modern Armour.
Right now I have approximately 30-40 'Core' cities, all with maxed populations of 20 to 40+, all of which have everything from coastal fortresses to Manufacturing Plants. There is nothing to do but build military for the rest of the game (its only 1902). Canterbury is building a MA every turn, I made 2 leaders on my last turn. I rule, basically.
This to me is fun. The total dominance of my civ at this stage can only increase and fills me with a smugness that is hard to beat
Next time around I fancy trying a more military game, I'd like to see how many Leaders I can get and how early I can achieve Conquest. But this would definitely be a break form the norm.