One of 'em's darned ugly, the other one ain't.....

 

This showed up on YouTube yesterday.

 

They are the same bike. You have to decide if you like a frame mounted fairing or a fork mounted fairing. I've ridden sport and sport touring bikes in the past quite a bit, so I am in the fixed (Frame mounted) fairing camp. Whether one is more or less visually appealing, that is also up to you.

I know when I went to the dealer to specifically try the Road Glides, just about every salesman was of the opinion that fixed fairings were weird.

 

They share the same motor, frame and suspension, the only real difference is the fairings and how they are mounted, handlebar mount (Street Glide), frame mount, Road Glide. That will affect wind protection and handling, with the weight of the fairing on the bars or the frame.
The Road Glide is better for me, but it might not be better for you. If a short demo ride didn't make the differences stand out, before you spend $20k+, I'd recommend renting one of each for a .day and ride a variety of roads, twisties and slab, to see which one is better for YOU.
Of course, style is a matter of opinion, some hate the look of the Road Glide, some, like me, like it.

 

There are multiple threads on the subject. Take a look around the forums; this subject has discussed ad nauseam.

 

I am on my 3rd Road Glide. But why ask other people what bike you should buy?