You have a couple of different questions here. I will try to answer on several levels.
1. In order to behave in a civilized manner, you don't need to be religious. However, in order to go out of your way to improve society or to greatly contribute to humanity, you need to have some sort of inspirational, guiding force. For some people that might be religion (so I give tzedaka b/c God wants me to), for others it might be a relative with a sickness (so I will work to cure cancer) or a special talent in an area (I love physics and won the Nobel prize) or some overwhelming experience that they had (peacecorps, etc.). So religion can certainly serve as an impetus for people to do good. Of course, it can also serve as the opposite, but your question is not about that.
2. Иными словами, если следование этому подходу не увеличивает процент прилично (в смысле бейн адам ле-хаверо) ведущих себя людей, то какая от него польза? This is a secular question to begin with. The frum Jew must say that, even in the situation you describe, the value of the approach is in the bein adam lemakom mitzvos.
Really, in order for there to be a quantitative difference in percentages, the frum people would need to see bein-adam-lechavero mitzvos as equal in value to ben adam lemakom miztvos and for the most part, they don't. Bein adam lemakom is seen by frum people as the higher priority and more time, energy, money is spent on those mitzvos. However, in the rest of the world, bein adam lechaveiro is more valued as it is considered more universal. The two value systems clash when someone violates "lechaveiro", especially if it is violated for the "lemakom." A good example of this clash is how do you judge people who cheat on their taxes so they can pay for yeshiva tuition.
Если увеличивает, то это по крайней мере частичный ответ This is the expectation. Those people who insist that the numbers are equal are usually on their way out the door in terms of frumkeit. However, the numbers can also look skewed because one act of messing up "lechaivero" is judged much more severly by the secular world for religious people than it would have been for secular people.
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1. In order to behave in a civilized manner, you don't need to be religious. However, in order to go out of your way to improve society or to greatly contribute to humanity, you need to have some sort of inspirational, guiding force. For some people that might be religion (so I give tzedaka b/c God wants me to), for others it might be a relative with a sickness (so I will work to cure cancer) or a special talent in an area (I love physics and won the Nobel prize) or some overwhelming experience that they had (peacecorps, etc.). So religion can certainly serve as an impetus for people to do good. Of course, it can also serve as the opposite, but your question is not about that.
2. Иными словами, если следование этому подходу не увеличивает процент прилично (в смысле бейн адам ле-хаверо) ведущих себя людей, то какая от него польза?
This is a secular question to begin with. The frum Jew must say that, even in the situation you describe, the value of the approach is in the bein adam lemakom mitzvos.
Really, in order for there to be a quantitative difference in percentages, the frum people would need to see bein-adam-lechavero mitzvos as equal in value to ben adam lemakom miztvos and for the most part, they don't. Bein adam lemakom is seen by frum people as the higher priority and more time, energy, money is spent on those mitzvos. However, in the rest of the world, bein adam lechaveiro is more valued as it is considered more universal. The two value systems clash when someone violates "lechaveiro", especially if it is violated for the "lemakom." A good example of this clash is how do you judge people who cheat on their taxes so they can pay for yeshiva tuition.
Если увеличивает, то это по крайней мере частичный ответ
This is the expectation. Those people who insist that the numbers are equal are usually on their way out the door in terms of frumkeit. However, the numbers can also look skewed because one act of messing up "lechaivero" is judged much more severly by the secular world for religious people than it would have been for secular people.