To compare the power spread of the 1.4L Turbo vs. 1.8L NA, I cobbled together torque and hp curves for each to compare.
Note: this is NOT perfect! I based it on the few stats I found online and on a Cruze forum. No guarantee this is accurrate, just looking for trends.
Sources:
Edmunds.com has peak torque @ RPM and peak hp @ RPM for each engine.
Cruzetalk has a torque curve for the 1.4L Turbo
2011 EcoTec 1.4LT power & torque numbers - Chevy Cruze Forum : Chevrolet Cruze Forums
The orange curves are for the 1.4L T and the black lines are 1.8L NA.
The red dots are actual points I based the curves on.
HP is calculated from T x RPM / 5252
1.4L T : Peak torque from 1850-4900RPM, peak 138 HP @ 4900
1.8L NA : Peak torque @ 3800 RPM (I was probably a little too generous with the low-end torque) I had to keep the torque flat at higher RPM to hit the peak HP 138 @ 6300RPM
Observations: For the RPM range where most normal driving is done 2000-4000RPM, the 1.4T will have a 15+ hp advantage over the entire range. Of course, the turbo has to be spinning to get these hp numbers, but the Sonic's turbo is sized for minimum lag time.
The 1.8L peak hp occurs @ 6300 RPM, that's 1400 RPM higher than the 1.4T
For me, the advantage would be to stay in a taller gear and still be able to accelerate with traffic, pass, etc.
You don't need to be at full throttle to notice the difference, even at part throttle the extra torque will be noticable.
Having said that, the 1.8NA will still be a fine engine. Shoot, I've been driving a '98 Civic (2500 lbs) with 106 hp for years...either would be an upgrade for me!