Okay, other question: Do they have super strength to go with their indestructibility?
Super strength has been implied but never explicitly shown in a way that couldn't be explained away by training or some special ability. For example, if Alice is telekinetic, then she didn't break her counterpart's gun, rather she flash-disassembled it. This could also explain the fact that she seemed to levitate when she confronted Gavia. However, that would require an explanation as to why she didn't deal with her adversaries at a long distance.
I think that Jeph is deliberately keeping lots of things about Alice ambiguous. She has shown enough extreme capabilities that it's unlikely that she's just a 'woman-plus' super-soldier at the very top end of what is possible for a human body to achieve. However, there are enough inconsistencies to make it difficult to pin down precisely what special abilities she may have. Then you have the issue of her personality that could further disrupt evidence. For example, what if she just
prefers up-close-and-personal and consciously chooses
not to use longer-range tactics, even though she has the ability to do so?
My guess remains is that she is an augment. Her biology has been genetically optimised, making her incredibly long-lived and nearly ageless as well as close to physical perfection as it is possible to get at the very top end of physical attributes (strength, durability, perception and intelligence). She may also have synthetic augmentations to make her muscles, skin and bones even tougher (nearly unbreakable) and give her things like active night vision and the ability to generate energy fields to do things like fly or create telekinetic effects (using actual generators built into her body rather than an external nanotech skein). As I already noted, her personality is far from perfect and I'm wondering if her psychotic episodes might be a consequence of something going awry when she was engineered... or if she was
designed to be aggressive and possibly even psychopathic because that's what the military end users wanted for their cloned Amazon Warriors.