Something that nobody should be allowed to even try to do in the foreseeable future even id that person managed to get enough resources for that.
Eg. If you scale out to a 10,000 year timeframe and this is step 1 leading to a self-sufficient backup for Earth, then one day some event seriously threatened to take out our home planet, suddenly the ~whole population would feel the expense was worth it whatever the magnitude.
> If you scale out to a 10,000 year timeframe
AFAIK there were no events at last several hundred million years that had a realistic chance of making the Earth less habitable that Mars. So unless we had a ways to cheaply transport millions of people to Mars (maybe space station or the moon would be a better option though?) focusing on building infrastructure that would allow us to minimize the impact of meteorites or massive volcanic eruptions as much as possible.
Being the first human to set foot on Mars stands out as one task it couldn't complete.