You're -probably- just getting unlucky.
Then so am I. Every time I have engaged in combat, I have been shot dead, dying or severely wounded by a single bullet; and this usually happens if I get shot in the arm or leg as well. My opponents however seem to be able to withstand at least three of MY bullets before they're rendered useless in combat.
You might be getting unlucky, or you might be poorly prepared to fight the enemies you're losing against. Combat attack rolls (and damage) use the same code regardless of which side you're on (just "insert attacker here, insert defender here, and go"), and I've tested combat pretty extensively, so I'm all but certain there's no bug there.
Getting shot up in itself doesn't take much unluckiness, especially if you aren't trained for it. This is even more true if your enemies are police. In that case:
a) They're probably better shots than you.
b) Their guns are pretty decent.
c) They have moderate to good physical stats.
d) They're wearing body armor.
e) They start with several levels of Conservative Juice.
LCS enemies in general are not like most RPG enemy fodder; they're fully powered characters equal to and often greater than yours, and if their job involves carrying a gun, they are pretty much guaranteed to have at least several levels of skill with it. Even an all B founder with an AK-47 is more likely than not going to lose a shootout with police if outnumbered even 2-to-1.
If you are going to fight anything more powerful than rent-a-cops, I would recommend a full party, body armor if at all possible, upscale weaponry, and getting some practice against easy targets. You might consider recruiting Army Veterans as well, as they'll come with all the abilities of a soldier, minus the equipment and alignment restrictions. Another consideration is to have someone with high first aid skill -- it doesn't restore health, it stops bleeding, but that 1% health loss per round from bleeding is what actually kills most liberals, and it's also the only way you can die from wounds to the arms or legs.
Over the last several releases, combat HAS become more dangerous for your people, mainly due to the effort to minimize the direct effects of physical attributes in combat, which previously weighted things more in your favor, as LCS members with juice tend to have higher physical attributes than most enemies. I did play a full game a week or two ago, so believe me, I'm plenty well aware of this. I have no opposition to ideas to make combat less lethal for your side. It's not unplayable or anything, but the combat difficulty may be pushing the too high side of the spectrum.