I still think it's a bad idea.
The advantages of the Terminator were its superior strength, which, unless you augmented the soldiers muscles with steroids, you'd lose and its advanced targeting computer which allowed incredible accuracy. You may keep this if you had the neuronet you were talking about but then it's not just the "chassis" anymore is it? It's a fully fledged cyborg with all that negatives that brings. Plus you'd be in Robocop territory then...
Plus, in the Terminator movies the humans in the future kicked Terminator butt because they were slow. The quicker, more agile humans (with the right weaponry) were able to defeat them which is why they had to resort to the wimpy tactic of killing the human leader before he was even born.