No, a 1X scope would be very different from a Red Dot.
The dot in a red dot, reflex, holosight, etc. moves througout the field of view. So, if your head isn't lined up perfectly, the dot might be in the far upper left corner of the scope, but it would still indicate where your bullet or shot pattern will hit. Also, red dot sights without magnification let you look straight through glass, so you don't have to be lined up with the eyepiece, like you do with a scope.
A 1-4X scope has a series lenses, even if you dial it down to 1X, so if your head isn't lined up perfectly, you won't see much, just like a 3-9X scope.
So, a red dot is faster, because you can acquire the target before seating the gun on your shoulder or getting your eye lined up, and because you can see straight through the glass from any angle.
What's even faster is a gun that fits, with an express sight or a buckhorn (or a shotgun with a bead), and a lot of practice getting it shouldered in exactly the right place, quickly, and hitting targets. A red dot can be a good tool to add to that mix, as is a scout-mounted scope.
That doesn't mean you shouldn't get a 1-4X scope, but it doesn't offer the quick acquisition you want.
Now you can get a low-magnification scope with a red dot (I think that's what an ACOG is, but I've never used one). Then you do get the best of both worlds. ...for more money than your carbine cost, probably...
But you might be happiest with a scout mount. Try one if you can.