Rummy first worked for VP Gerald Ford.
Paul Wolfowitz, also mentioned in the above article, worked for SecDef Rumsfeld under Ford and was Rumsfeld’s Deputy SecDef under GW Bush.
No no. He interfaced with Kissinger quite a bit in President Nixon’s administration. There’s alot of misinformation on Rummy in this post. Get his book, just came out days ago, “Known and Unknown, A Memoir”.