“How does space exploration translate into this goal (survival of mankind) in your viewpoint? “
Interesting to me that someone would actually ask such as question. :-). I realize some people don’t really think about such matters and can’t imagine mankind someday being forced to leave Earth or even how we might survive on a place like Mars. But yes that could happen and is poossible. And i think this is a key role for governments to defend the population on two fronts - diversion of meteors and eventual migration off earth should it be necessary.
This is just one reason of space exploration. There are commercial reasons and even a more fundamental driver that exploration is in man’s DNA.
Commercial exploitation of space is another thing that sounds good until you look at the balance sheet. There are two things that make it extremely unlikely to be successful:
I'll get into the total lack of feasibility of humanity's survival any place other than earth some other time.