Everything that you mentioned isn't hard for me at all. The hellish gridlock - I rarely venture out on the main arteries during peak time. The playing chicken - I do it almost instinctively and dont even think about it.
The anarchy that you talk about is simply a result of diverse driving platforms sharing the same space. Indian roads need to have a wide variety of vehicles (2/3/4 wheelers) because 95% of the country simply cannot afford the cheapest car that sells in the US. We can't have wide roads with speed limits because its just too expensive and India is a dramatically poor country.
This model works for now and hopefully India will skip the insanely high energy American model on the way to the next.