A short time ago a friend told me that there has been research of the means to stop a big object on its way to the Earth.
I always thought that we had enough nukes to stop any incoming space object. But he told me that this is not the case for the following reasons:
1. The ICBMs (US and former SU) are only capable to orbit and reenter the atmosphere at their designated targets. They cannot leave Earth's orbit.
2. Even if they could leave the orbit, they would not be able to destroy an object beyond a certain mass, e.g. the mass of Mount Everest, but only to cause damage on its surface.
3. Even if the object could be destroyed (into millions of smaller objects), the entire mass of it would not change. The consequences for the Earth would probably be even more disastrous (something I consequently tried to disbelieve and disproof).
Here is why: The atmosphere of the Earth would only cause the first entering objects to vaporise, building a heat shield for the following cloud of objects. The effect would be that most of these objects would impact, causing the same effect as massive (planetary) carpet bombing (with dense, radioactive, high-speed objects). In comparison to a single gigantic object this massive bombardment would stir up dust all over the globe, causing even more dust to enter the atmosphere, causing a nuclear winter and so on...
a) Does anyone have anything to disprove/prove any of these statements?

What do YOU think of this/ what is your opinion on this?
c) What could be done to counter this threat?
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Please don't speculate about the statistical possibility of that, just think of the threat as a real one.