then why not build the Enterprise along the original design?
It's the 14.7 pounds per sqaure inch of internal pressure that's the problem MikeG.
In aircraft design, such as large airliners pressurisation can be used to some advantage as it makes the monocoque hull structure stiffer, in much the same way that a fizzy drinks can is more rigid when full than when empty.
However this only really works well for cylinderical/spherical structures and in the case of the Apollo capsule (which was conical) the pressure had to be limited to about 5 pounds per square inch to save on structural weight but with a higher oxygen level to compensate.
To create a suitably Earth-like environement on board this version of the Enterprise would require a substantial pressure hull design that would impose a significant weight penalty.
Personally I don't see it being very practical.

Interestingly one of the very early designs for the Gene Rodenberry Enterprise featured a spherical forward hull.
http://en.memory-alpha.org/wiki/File:Ea ... feries.jpg