I think we're a bit too late for radio silence. Even if our comms are indistinguishable from noise at that distance, I bet our previously detonated nukes would have sent distinctive pulses across the near cosmos.
I wonder, does SETI look for signs of alien nuclear wars?
Someone else can figure out the math, but I'm pretty sure the energy from all of the nukes that have been detonated, especially if you only count the open-air ones, is minuscule compared to what the sun gives off. That would mask any possible detection. I wouldn't be surprised if just the solar radiation that the earth reflects is enough to mask the nuclear blasts, unless you're viewing them from right inside the solar system.
I wonder, does SETI look for signs of alien nuclear wars?