What is Western Buddhism?

In other words, what is the sect of Buddhism called when you focus less on prayer, scriptures and the theistic aspect of Buddhism and more on the mental mind. I know there are different sects of Buddhism, and since I am a Western Buddhist what is this sect called, that is if it has a title?
I know that Buddhism is an non-theistic religion, but in certain cultures like in Asia, they focus more on prayer than western Buddhist.

"Western Buddhism" is just a description of Buddhism in the modern age, dealing with relevant issues.

Buddhism has no "theistic aspect". It's an apatheticICCeligion.

You might want to look for Theravada.

There are probably a few different ones that would suit you. Offhand, I'd recommend taking a look at zen; it tends to be pretty stripped-down compared to other sects, focusing more on meditation and very little on scripture, although some places can be pretty ritualistic with their chanting and such. I'd recommend looking for Buddhist discussion boards to ask this question and looking for different Buddhist groups in your area; you can probably find more westernized versions of several different sects if you live in a populated area.