"It's not all about increasing our ability to nuke the world several times over."
Let me just read over again what was actually written and refuted.
"If Trump and Putin can help us get rid of our nuclear weapons."  Nope.  I don't see it.  Please explain to me how these words, particularly "get rid of," is not about decreasing the number of nuclear warheads or as you put it, "our ability to nuke the world several times over."

It seems that you jumped onto the tail end of a discussion without regards to the context of the discussion by trying to revise the plain meaning of words to discuss something related but completely different.  However, intellectual honesty behooves me to offer you the opportunity to explain where I might be mistaken.