NATO does have to at least keep parity with Russia. Russia is the number one threat in the region, and NATO was made specifically for this purpose. Without adequate weapons to ensure peace, there would be no point of the alliance.
Nuclear weapons are necessary as a deterrent. In this case from an adversary that has nuclear weapons - without those in stock NATO would be outmatched and vulnerable to being subject to the threat of using them.
At the end of the day, states with nuclear weapons get to push non-nuclear states around. Good luck getting Russia, China, Israel, India, Pakistan or North Korea to disarm.
Getting the West to abandon their nuclear weapons would be morally reprehensible as those states would become subjects to the states that did not.
It's a nice dream, but:
1. It won't happen.
2. Nuclear weapons I believe are the most important reason why we did not have a conventional war in Europe for 80 years. Russia would not attack an adversary that was nuclear armed or in a nuclear sharing program.