Let's ignore the technologies that might be impossible (e.g. warp drive, dilithium crystals, and transporters). Let's ignore the technologies that we have no idea how to reproduce in a similar way (artificial gravity). Let's just focus on trying to build a space-worthy scale replica of the USS Enterprise that uses existing structural and propulsion capabilities.
Cosmologists propose that the universe was until recently a lifeless collection of particles. But they have ignored a critical component of the cosmos because they don't know what to do with it. This component, consciousness, is an utter mystery. How did inert, random bits of matter ever morph into Obama or Lady Gaga?