Genesis!
Grand Ideas like this ALWAYS end well for everyone involved... except when it is actually tried...
Shades of StarTrek.
This is idiotic, mars has no, or at least not a strong enough, electromagnetic field, so any “atmosphere” would simply get stripped away by the solar wind, just as its original atmosphere was.
If you are talking seeding the soil with bacteria so you can create an artificial enclosure that might be able to be sustainable if scaled big enough, but au natural, you can engineer a mars atmosphere without first protecting the planet from the solar wind.