Vanilla eXee
Assuming you have some form of power to run said turrets. Also seems unlikely you'd get them to aim specifically for the head without a whole computer set up linked to them that would actively search for the head. The most you'd be able to do without all kinds of fancy gear is just have them shoot at whatever moves and that couldwill be a big ammo waster.
I'd stick with human shooters. Much more reliable, especially when you don't know what you might or might now have for power. It'd be best to conserve any power source in case you need it for something more important.
It's more of an anime fantasy than a survivalist reality.
As I've been suggesting in other elements of this discussion, look at real-world analogs if you want to make a guess at how a zombie survivalist group will look.
You need a group of people operating without external support (or at least minimal support). You also need a group that believes they must protect themselves using violent methods. There are two groups I can think of:
* Terrorist training camps: they are spectacularly low-tech, and run more like traditional military bases. They don't have any "tech/mech genius".
* Militia or apocalypse groups: A good (but old example) of this is the Waco, TX Branch Davidians. There are others, as well, though. You also don't see any "tech/mech genius".
It wouldn't matter much, though. Even if you had someone with the skills to design these sorts of things, he's likely a theorist with limited fabrication skills. Even if he's BOTH a theorist AND a fabricator (which is very, very, VERY rare), finding the materials and tools he would need to build things is unlikely.
Then you have other logistics problems...how much power do you have? Where are you getting it from? You can't exactly run full power day and night unless you have an oil field AND a refinery AND people who know how to manage both. Solar power? Maybe, but solar doesn't produce as much power as other methods, so you better have a TON of panels.
Speaking of skills, snipers aren't easy to come by. It's a specialized skill, and not one that everyone can learn.
The permanent base being mentioned isn't likely. It presumes the availability of a lot of resources, a lot of skills, and a lot of manpower. The chances of having all of those available in a post-apocalyptic scenario are slim.