Was the real Star Wars led by Reagan the end of the Soviet Union?

In the titans, scientific facts and science fiction were almost one thing, when US President Ronald Reagan declared the Strategic Defense System or Star Wars, a rocket-busting system.
This system was designed to reduce the arms race between the United States and the Soviet Union, a step to overcome the nuclear threat or WMM: mutually assured destruction.

But did the nuclear physicist Edward Tiller promote this idea to Ronald Reagan? Dictated by what he wants to hear? How was the reaction to this new defense scheme? Did you change the world, while this theory required years of light to be applied on the ground, how a simple threat of star wars would change the world, though it did not run out.
The two forces in the titans reinforced their stockpile with nuclear warheads for a quarter of a century. The Soviet Union had 30 thousand and the United States had more than 20,000. In fact, this stockpile began to diminish in the mid-1960s, considering that modern rockets are more effective and versatile. .