Focused on: Religion
Recommended Policy Tree(s): Piety, Honor
Ideology: Freedom. Tenet(s): New Deal

Unique Ability

+1 Faith from Strategic Resources: This ability can give you a fair early faith bonus, depending on how lucky you are. Horses and Iron are uncovered quite fast and can give you the Faith you need to adopt a Pantheon and choose a Religion.
+2 Gold and Culture from Holy Sites: Combine this with the Piety Policy Tree to get +6 Faith, +5 Gold and Culture from each Holy Site. You'll gain a lot of Gold and Culture if you focus on getting a lot of Faith.
+20% Combat Strength if within two tiles of a Holy Site.: If you place Holy Sites in a strategic way, then you can defend your empire quite effectively. Place some Forts on rather useless tiles (desert, tundra etc.) and you'll be able to fend off your enemies (Barbarians and civs alike)
Units trained in the Capital generate Akali Nihang Generals 30% faster: This synergizes with the UU, the more Generals, the more Holy Sites you get (and more benefits).

Unique Building
Gurdwara: This spreads your religion faster, what allows you to gain more followers quickly. If you choose the Belief "Tithe", you'll gain more Gold (+1 Gold for every four followers).
The happiness bonus is always welcome and continues to increase as you adopt more policies (although it only counts for NEW policies).

Unique unit
Akali Nihang General: Can build a Holy Site. Nothing more to it.

Early Game focus
1. Find strategic resources. These will be your main Faith-income for a time.
2. Either choose Honor or Piety. You can choose Honor and then Warrior Code to get a free Akali Nihang General and have them generated 50% faster. After that, you can switch to Piety.

Victories

Cultural
Choose a Pantheon that boosts your culture, depending on your environment (jungle; pastures; plantations; gold and silver; wine and incense)
Choose the Piety and the Aesthetics policy trees. Make a lot of Holy Sites (+5 Culture with Piety) with Great Prophets and Generals. Consider choosing Beliefs that allows you to buy cultural buildings such as Pagodas and Cathedrals.

Scientific
Nothing really supports this victory. You could gain large amounts of Gold and buy Science buildings while focusing on Scientific Wonders.

Domination
You could focus on getting Faith and choose the Holy Warriors belief (buy pre-industrial units with Faith) and Religious Fervor (buy Industrial and later units with Faith) or Heathen Conversion.(convert Barbarians with your Missionaries).
Or choose Just War and buy Missionaries, convert Cities before attacking them. You should have no problem with getting faith because of the UU and the UA.

Diplomatic
There are also various beliefs that support this victory; mostly reformation beliefs. Charitable Missions: more influence from gold gifts or To the glory of God: buy Great People with faith. Buy Great Merchants and perform Trade Missions.

Faith can really get you any victory. You can choose to build up a defensive empire and build all kind of wonders to get the most points.