A lot of people find value this combo, often called the Nessmuk trio. But i see no point in bringing two knives if i can bring a hatchet and a knife.
My experience is that people usually stay away from someone swinging an axe, if not i kindly advice them to

. Or you could do it as shown here:
[video]https://youtu.be/X5W6r5U7yBE?t=2m20s[/video]
The handles seem to be the biggest point of debate on the ESEE-4. My hands are medium sized(for a 184cm body lenght) and i have little issues. I somewhat agree on the thickness, the F1 has the same thickness(0.188") as the ESEE and it's as thick is i would want for a blade around 4".
Yep, I'm familiar with the trio

. Although, mine isn't a true traditional nessmuk trio, as I don't have a folding knife, nor a double bit hatchet. It still does work really well for me.
What I didn't mention is that I frequently camp with smaller children (nieces and nephews), and while I try my best to keep an eye on all of them, the smaller ones sometimes haven't learned to be cautious of things. I just feel more comfortable swinging something blunt, just in case. But you're right, most people do stay away when you start swinging an axe. And I love Mr Mears videos. I've found many great tidbits in them, from things like how to properly strike a match and properly lay a fire, to some nifty campcraft things

.
And perhaps my hatchets haven't been the best, but so far I've found that the BK9 chops at least as well as the hatchets of the same size/weight category, and for me is more useful in other tasks while for me a hatchet is a single use tool. The BK9 does surprisingly well at smaller knife tasks, and while I know some people do make feathersticks/etc with their hatchets, I've found I'm much better at them with a knife. But of course that will depend a lot on each user, their skill level, and where they live. I may just be awful with a hatchet, which is why I prefer a knife for right now.
And for the record, I don't see batoning as a way to split wood for a log cabin. I see it as a way to take roughly wrist-forearm sized straight grained wood down to size to start a fire. I'm also not above whittling a wedge if for some reason I just HAVE to split that knotty piece of wood.
That fits my experience as well and great advice. I'd go with the ESEE-4 if paired with the folding saw or if you add a hatchet down the road. For example, the BK-7 is a great blade, but it is a tad too big for normal kinds of things for most people and a bit too short for chopping. That's where the BK-9 comes into its own. But instead of the "9" I have gone with short machete's with a slightly longer blade if I am willing to carry something that big in the woods.
I've been considering going with a machete as well, although around here we don't have tons of brush, and honestly I don't chop much at all (folding saw takes care of all my "chopping") so I'm not sure if it would work better in my situation. A 14in Tram only weighs a few ounces less (~4oz), doesn't come with a sheath, and I'm not sure how it would handle the other tasks I use my BK9 for. But yeah, I've been looking at things like the tram, the svord kiwi machete (12in), and the Mora machete actually.