Wound Threshold, Soak, and Injury are not literally connected.
So if your players run a combat and are just a point or two under their wound threshold they are not necessarily injured. They are getting tired, maybe a little sore, their trick knee might be bothering them, but at no time does the GM have to say a blaster bolt touched them.
Now... if the players have suffered a critical injury THEN they are hit, or tore a muscle diving for cover, or jammed a finger, or hit their head, or got little bits of metal in their eyes, or whatever.
That's why you auto suffer a Crit when you go over your threshold. Because at that point it's assumed your character is actually taking damage and not just wearing himself out. That's also why clothing can provide soak, it's not literally stopping blaster bolts (usually), it's stopping small bits of shrapnel, preventing bumps on the head, and letting the characters not wear themselves out quite so fast. And why a simple stimpack can restore WT instantly, it's not healing you suddenly, it's just a shot of adrenaline, some minor pain killers, and some anti-bacterials; you don't literally heal suddenly, you just feel better and are able to push on even with any real injuries you have. Also this is why WT healing and Critical healing are separate, because they aren't the same things.
ST is something else, that while kinda the same is more about mental focus then physical vitality. This is why performing extra maneuvers and activating talents like sidestep cost strain. The characters are actually mentally focusing on doing those things in addition to everything else that's going on. Just like WT represents physically wearing yourself out, ST represents this mental out-wearing. You can only divide your focus so much before you start losing track and make a mistake.
For a movie example: Han Solo chases the stormtroopers and the troopers hit a wall, or find a bunch of friends depending on the edition. As Han whips around the corner they fire and "hit" kicking in some points to Han's WT. Not exceeded Han wasn't hit, but that sudden stop and about-face he did wasn't exactly healthy, and if they kept shooting eventually one would hit for real. But after a little rest, cup of coffee, maybe a wookiee massage, and Han's all better.
Now, Leia's cover Han outside the shield bunker and a stormtrooper Crits her with a Agonizing Wound but DOESN'T exceed her wound threshold. So she's still in the game, just not real happy about it.
See, the system is actually pretty cool when you understand what FFG was thinking when they came up with it.