I think if you were going to write a book on the one hundred things (or potential mistakes) you ought to figure out, plan and be prepared for as you travel to another planet....I’d start with the Mayflower crew and plan. Only through just sheer luck and determination....were there a couple of folks still living in the spring.
Oddly, the statistical average....if you to the Thirty Years War, the plague period, and consider all those in central Europe....it’s a fifty-percent death rate. So either way....they were going to need luck.
With only 100 and some odd people the odds were definitely against them. In that situation the more people you have the better off you are (if you have supplies for everyone to get started) I believe the theory on colonizing another planet is that 40,000 people is the ideal.
In any case, blaming the near collapse on socialism is a wild oversimplification. Their first obligation was to the investors who had funded their trip. Its one of the reasons they sailed on a cargo ship. It was expected to return full of trade goods.
They would have been far better off if they had taken two ships. One designed for passengers and the Mayflower fully loaded with supplies. It would have been a much greater investment and investors would have had to wait much longer for a return but the colony would have been much more successful. Once the investment was paid the pilgrims would have begun clearing their own private land and trading among themselves, the indians, and Europe.