Evidence Against ET Visitation:
If we were being visited by physical beings from another planet, they would be saturated with bacteria from their home world of a different DNA than bacteria from Earth.
Since no Extraterrestrial DNA has been discovered how are we not to conclude that we are not being visited and no alien autopsies have been conducted and no aliens have been recovered from UFO crashes?
Your logic is flawed.
First, your government does have evidence, but no evidence that extra-terrestrials have had contact with humans, so DNA evidence would exist.
Second, you have a massive scientific failure. New bacteria are discovered. There are an estimated 1+ Million species of bacteria, but only ~30,000 species have been formally identified and named.
Of the 30,000 formally named species, only a few dozen have been gene-sequenced.
Thus your claim that extra-terrestrial bacteria would be known by their DNA is a total massive failure.
Your scientific failure doesn't end there.
Had you read the papers of the two Nobel Prize-winning scientists who discovered DNA, Crick and Watson, you'd know that neither man believed life originated on Earth. Both men came to the conclusion that life originated elsewhere for different reasons and came to Earth.
We are now more than well-aware of the role of the photo-electric effect on life on Earth. The photo-electric effect is the impact of photons, namely hard and soft gamma rays, hard and soft x-rays and Ultra-Violet radiation, on chemical compounds, either creating chemical compounds or breaking down chemical compounds.
Life in the Universe is Carbon-based and consists of the same four proteins. Those proteins may be synthesized in Space through the photo-electric effect -- the radiation produced by stars -- on comets and asteroids that contain Hydrogen, Carbon, Nitrogen and Oxygen with or without the presences of Phosphorus.
The photo-electric effect is why you exist. For the first 2.5 Billion years of Earth's existence, the atmosphere was Nitrogen and CO2 only (and you still had two major glaciations). As plankton-like organisms in the ocean engaged in photosynthesis, they produced Oxygen as a by-product. The Oxygen saturated the ocean bonding with reactive metals like Iron, creating Iron Oxide which precipitated out of the ocean and settled in bands on the ocean floor which are now visible in places like Wisconsin, Minnesota, Michigan, Canada, South Africa and Australia.
Once the reactive metals bonded with Oxygen and precipitated out, the ocean became over-saturated with Oxygen which then leached into the atmosphere. Oxygen is poisonous to anaerobic bacteria living on the Earth's only land mass.
That's where the photo-electric effect comes in. It caused a mutation in one of the anaerobic bacteria so that its off-spring could tolerate Oxygen instead of being killed by Oxygen.
Much, much later, the off-spring of that bacteria mutated to be able to incorporate Oxygen in its metabolism, and that's one reason why we're all here.
Note that on Earth, decaying radioactive isotopes produce the photo-electric effect, too.
Other terrestrial planets in the Universe are roughly similar to Earth in composition. The only real difference is the exact type of star, the composition of the atmosphere, and the mass of the planet, so those things will impact the development of life.
The point is, even if you found extra-terrestrial DNA, you'd never know it was extra-terrestrial.