First off, you linked to a list of english measures which are not used in the US. Nobody uses fathoms or barleycorns.
Here is the list of actual US customary units: https://en.m.wikipedia.org/wiki/United_States_customary_unit...
Second, none of that is relevant to landing on Mars.
The only problem space where metric has an advantage is in converting between meters, kilometers and millimeters.
That’s great, and it’s easy to learn. But it doesn’t suddenly make all problems of distance easier to solve.
If I am traveling toward Mars at 47 meters per second it doesn’t help me to know that is also .047km per second. And converting to kilometers per hour involves using base 60 twice anyway because metric time is unwieldy.
In reality none of your measurements are going to be nice round numbers. Mentally converting from meters to km might be nice sometimes but it’s essentially a party trick.
It won’t help the lander make decisions. The hardware doesn’t inherently work in base 10.
Does NASA mix meters and kilometers? Isn’t that the same problem that destroyed the Mars Climate Orbiter?
The fact is the units are irrelevant beyond just being defined and used consistently.
Also, I can’t think of a situation where I need to convert miles to feet. My bike ride is six miles, I’m never going to express that in feet. If I need to describe the size of a thing in a room I will probably use feet, maybe inches if it is small. Probably not feet and inches. I wouldn’t use miles at all. Easy conversion between those units just isn’t a problem that comes up. It’s more important to me to have reasonably sized units and that the person I am communicating with understands them.