No, settlers weren't willing to give up
so much, those people went on to colonize America precisely because they had
so little to lose. They were already enduring poverty, hardship, and (in many cases) discrimination to such a degree that crossing the ocean and starting a new life in an unknown land inhabited with hostile indigenous tribes seemed a good enough deal in comparison.
In other words, imagine a developer in India who wants to move to SV but can't get a visa. Can he instead apply for a ship bound to Mars, and agree to work as an IT technician in lieu of paying for the trip (and all the food, water, and oxygen he will need in Mars)?
Until that is economically feasible, colonization of Mars will not happen, at least not in the same way colonization of America happened.