IMO you can survive, although not easily. You will get about 2-5 power armored guys, including Traders' Guild big honcho, and those can be only taken down by strong melee fighters (like Str 40+ with an Ax, at the very least cutlass or billhook, do not even bother with rapiers or bats or knives), or multiple application of HE-packs (dynamite or grenades simply won't work). Personal-armored guys will also be a problem, but Proxies will work on these. And... everyone is packing plasma, naturally.
On the bright side, this particular setup has a lot of average-morale, unarmored rabble. If you kill enemies fast, especially the leaders (second-in-charge are these women in business clothing), widespread panic will commence. With luck someone might even fire a Blaster Launcher in berserk
You base is well-defensible, use that, use teamwork, hide in the rooms and attack lone enemies. Also first-turn delivery of a HE-pack to the elevator works wonders, if you can pull that off.
Do not try to stun-rod heavily armored enemies. The Trader big boss is a huge prize, but stunning him with Rods is almost impossible (takes like 10+ hits on average). However, if you manage to down him and he luckily survives, get that Vodka ready (and snatch all his weapons fast!).