I think all the professions should be kinda low-end and mundane, Associate’s Degree or less so you don’t have doctors with zero skill in first aid or just a Big Book to read. And other points spent on skills would not seem out of place. They shouldn’t start with really good equipment either, just to keep them from costing an absurd amount of points and permanently gimping the player, or being too unbalanced.
With that in mind, like the soldier would be more like a reservist or guardsman that was mobilized but never managed to make it to the armory. So the full uniform, maybe a vest and kevlar or Guns and Ammo reading material, but no weapon. A doctor would be more like a paramedic, that starts off with a book and some medical supplies. Engineer would be a construction worker or mechanic.
Then again, I’d like to see starting equipment there in the character menu. Like you spend points on money and that money is spent on gear like with the defense-mode minigame, even weapons and such things if you want to max out your points and can afford them. Professions should be more like partially pre-made characters, with the skills and equipment already defined with a few points to distribute or not.
Starting gear should eliminate some of the boring or grindy parts, like smashing through every house in the suburbs trying to find a damn backpack.