Only so much...
Only so much you can do in a single 44 minute episode though. Unless they planned to stretch a scenario like this out into a story arc, there is only so much time to tell a story in stand alone episodic television.
There used to be a time when it was much easier for us to suspend disbelief. Some would say that it was because America wasn't as smart back then as it is today. Codswallop in my opinion. The best thing to do is avoid watching Trek or any science fiction for that matter if you have some kind of background in a scientific field. Science fiction breaks the rules all the time. Just sit back, unlearn what you have learned, and enjoy.
Respectfully,
General Chang
"So the Enterprise is on her maiden voyage, eh? Now that is one well endowed lady. Ah'd like to get mah hands on her ample nacelles, if ye'll pardon the bit o' engineerin' parlance." -Scotty, STAR TREK, 2009