There is a lot to unpack here, so let's get started in earnest.
These are ballistic missiles we are talking about and as their name suggest, they happen to follow a ballistic flight path. So, radars positioned atop the peaks of the Himalayan ranges can easily detect them at sufficient ranges.
You realize that those peaks of Himalayan are terribly close to Chinese border, or just sit on the border, right?
And if you consider the complicate geographic requirement for setting up a radar, you will find that there is not many places for radar station. The same problem keeps Chinese upset too.
After all, these are not terrain hugging cruise missiles, now are they?? So, this section of your argument is entirely based on your total lack of comprehension of this topic and not on facts.
Well, they are not terrain hugging cruise missiles, but you still need that 5-10 additional minutes to get your missile-defense system ready.
That is also why Americans choose to set up their early warning radar in the area close to Chinse (Japan, Korea) and Russians (Poland and Romania).
True but you've gotta keep in mind that TAR is a featureless barren wasteland of a plateau, with practically no way of concealing any significant deployment of forces, so you can forget about achieving any kind of surprise.
Really? Americans had big trouble to find out where the Iraq rocket force were on the desert in 1990.
You may say we are in 2023, the detection tech already advanced so much.
But the problem is: so does the anti-detection tech.
Not necessarily!! One doesn't need to employ expensive high-end SAM systems like Barak 8 or S-400 to counter ballistic missiles of that range class. And mid range SAMs like Akash cost a lot less than such medium range BMs that are employed by the PLA rocket forces.
S-400? Why do you think that Russia develops S-500?
Barak 8, high-end SAM system? Ok, I rest my case.