How were they supposed to achieve this "peace" once Hitler was dead? Just ask Stalin nicely? The Eastern Front had already crumbled and the tide of war had turned. Furthermore, the US and UK were committed to Germany's unconditional surrender. The plotters may have hoped for a separate peace with the US and UK was Hitler was gone, but such a deal was unlikely, and they'd have to keep fighting the Soviets regardless. The writer of this article would probably blame the Allies' unreasonable unconditional surrender demand for prolonging the war unnecessarily.
I get really tired of hearing about how these German resistance plotters were a bunch of great heroes. Von Tresckow was connected to Stauffenberg and the circle around Admiral Canaris. They were all loyal, patriotic German soldiers who knew that Hitler was flushing Germany down the crapper. They weren't on our side. They were on Germany's side.
Read the article. The Allies did not intentionally “foil” the plot. They just happened to bomb something that was integral to the plot.
My understanding is the suing for peace with UK and US and continuing the war against the Soviet Union was exactly the plan by the Stauffenberg group in 1944. And I believe that plan had the backing of UK intelligence and was signed off by Churchill.