Apparently, getting kills with any weapon that is unlocked even if it's already maxed out causes you to get disconnected from your local dedicated server. So playing against bots on a local dedicated server is actually currently unplayable.

Smirnov
@Smirnov
Posts
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Weapon XP get max on one kill in Private Match on IW5. -
Weapon XP get max on one kill in Private Match on IW5.This bug also occurs when playing on a local dedicated server. When you get to level 4, as soon as you get a kill with any weapon, you get booted out of your server, then when you look at your create-a-class, the weapon you used is now max level.