How can we differentiate what is traditional Chinese practice, Taoism and Buddhism?

In Malaysia, these 3 are basically the same.

Is worshipping our ancestors part of Buddhism, Chinese traditional practice or Taoism?

Is burning paper money and incese part of Buddhism, Chinese traditional practice or Taoism?

Do hell and heaven exist in Buddhism? And whats the difference from the Taoism version?

Is going vegetarian part of Buddhism, Chinese traditional practice or Taoism?

And a lot of people has the perception that if you want to be a monk, you have to sever all your ties with your parents, friends, relatives as well as your own family, how is this good since you will be causing so much pain to others?

From my experience, I have heard and seen monk, nun that is a kleptomaniac, pervert as well as some so claimed pious Buddhists that is just plain hypocrite that lie, cheat, brag, backstab, greedy and with other behaviour problems. Aren't these people should be controlling themselves?

I am a Buddhist but I consider myself more atheist than Buddhist ever since I started questioning the concept of Karma, Enlightment and Rebirth.

To be honest, you should assume my knowledge of Buddhism to be 0. I only knows what my parents taught me and that too is very minimal and I suspect is a combination of Taoism since I know that Buddhism has no concept of worshipping gods.

This is made worse by the fact that religion and believes is at the bottom of the list of what is important to me in life. Religion(I know, Buddhism is a way of life) too is the least I am concerned about when making decisions since I already have more than enough to worry about. All my life, I am guided only by moral values and my own principles.