You're describing CT!!

A character with STR 2 is not handicapped. He's a weak person, physically. I liken STR 2 with the character Jeremy Davies played in
Saving Private Ryan. He doesn't have some disease that withers his muscles, he's just a slight fellow. And, he sure has heck won't be winning any Ultimate Fighting Championships, either.
If you flip through Supplement 12 Veterans, or Supplement 1 1001 Characters, you'll see characters with "2" stats. And, they're all viable characters--not wheelchair bound or anything.
As for the disconnect, this is one of the things that I love about CT: It allows you to deal with those issues. Vacc Suit-1 doesn't always mean a +1 DM. It can mean a lot of things...or nothing. The same with stats. They can provide modifiers to throws or not even be referenced. It just depends on the throw.