Verifiying what Vgs means
As @Brian Drummond said, you are looking at the absolute max specs.  Both parts say that you'll need 4V (says it can work at 2V, but you don't want to operate at the limit).  Apply more than 4V to turn it on, less than 2V to turn it off.  If you have it, 10V will work perfectly but you don't have to go that high if you don't have it available.
Your Rds(on) tells you voltage drop you'll see across the FET and how much heat will be generated when it is on.  I think of it like a resistor that is added to my power path.  60A at 12.8mohms isn't a huge voltage drop (60*0.0128=0.768V) but parts will heat up if it sustained.  As the part heats up, that resistance will increase too.