As for signs of alien civilization being everywhere, here I have to respectfully disagree. I'll summarize why.
I firmly believe the likely future of humanity is not on planets but in orbitals. Planets are a great way of storing mass. They're a poor way of creating living area. I think the estimate is that 1% of the mass of Mercury could fully encompass the Sun in a Dyson Swarm of orbitals with no material stronger than stainless steel. I believe humanity will be capable of this within 1,000 years and that's super-conservative.
Objects in space that absorb Solar radiation heat up. The only way of releasing that is by radiating it away. That radiation is of a wavelength solely determined by the temperature of the object. For any reasonable temperatures, that's in the infrared spectrum.
So a Dyson Swarm will have a very particular spectrum. They'll be IR lanterns. Sure one star we may not see out of a whole galaxy but the barrier between doing this to one star to the whole galaxy is only a matter of a relatively short amount of time (cosmologically speaking). One million years for the Milky Way (out of 10B+ years).
There are a bunch of assumptions in this and each would be their own topic. But as a solution to the Fermi Paradox, it only takes one.
Recycling waste heat is a common objection but that just reduces your emissions, it doesn't eliminate them. If it did, that would break thermodynamics.
This argument is strengthened by this article: over time more mass is becoming unreachable. For truly long-lived civilizations it makes the most sense to grab as much mass as you can and sequester it. Again, it only takes one.