So this build is really about doing really good late game damage with your righteousfury, but at the same time getting some easy early-mid game kills. I start with the amp tome and a mana potion. I get the nuke first then righteous fury and then the nuke a second time. Until you are level 3 use your righteous fury to get creep kills from a distance. Some may prefer to max your E spell before the nuke, it is an opinion, i like the nuke for poking earlier game and the bonus damage on E isnt that great till later game anyway.
Once you are level 3 use your ignite to gain some extra ap then start poking like crazy with your nuke. It will do pretty good amounts of damage to anyone who didnt decide to get a bunch of magic resist. Keep poking and try to get a kill if you can. Once you have enough money to upgrade your tome to sheen burn you mana and recall.
Now once you have sheen you are ready to really start pwning, the quicker you get sheen the better. The best way to do this is gank, use E to activate sheen then your first attack will do nice bonus damage, once sheen is out of cool down use your nuke and your next attack will do more bonus damage, then use you W to do the same thing, and even ignite, and your ult, and clarity if needed. This all adds up to a ridiculous amount of early-mid game damage around lvl 6-8, and blue buff is an easy get with sheen and very useful for kayle so take advantage. Get accouple kills at this level and you will cruise to victory with your bonus gold.
From here on just get the items (upgrading sheen to trinity force for even greater effect and some other nice bonuses),dont be afraid to go after the squishy dpser's as your ult will keep you out of harm. This build also gives you enough ap to heal well, and by later game you will be attacking super fast with your ragblade stacks etc and you will eat tank with madreds, you can pwn towers, and do some pretty good aoe with your righteous fury from a distance while your tanks do their job. I have had great luck with this build and was recently on a 11 win streak with stats like 16-3-12 and such, also getting lots of kills, doing lots of healing, and saving team mates with the ult.
Please leave Feed back I am open to suggestions!...altough i already pwn with this