Cyberpunk is always going to (hopefully) be a balance between attempted realism and Rule of Cool.
You aren't teleporting, dual wielding laser blasters using magic powers atop your adamantium surfboard, no. That's not Cyberpunk. At least not near-future Cyberpunk. You can't see it from here, as it were.
Likewise you can't just whip around firing heavy weapons one-handed all day, without cyberware.
Adam Jensen has superpowers - but they are contained in a matrix of quasi-solid science and within modern-ish parameters.
Dual wielding is silly, realism-wise, yes. If you want to do it in context, then you would need cyber or bioware. And even so, it's going to be less accurate than a stabilized shooting platform.
The Rule of Cool is important in Cyberpunk, but it's not the only thing by far.