I am sure that the setting you changed was "Force RTL layout direction". This is a know "bug" with the lollipop build on the Turbo, and I'm afraid to tell you that the only solution that I know of is to do a factory data reset from recovery. (I call it a "bug" though clearly, as I am about to detail for the sake of everyone else, developer settings are not really meant to be used for people's day to day devices.)

I'm sorry that this has happened to you, and it is too bad that changing a user-facing setting, no matter whether it is in developer options or not, requires so drastic a fix.

For the sake of everybody else: Quite honestly, the settings in developer settings are really not meant to used by "real" users are truly meant to be used by developers (hence, the name) for doing testing of their apps in various conditions. Especially if you have no idea what a particular settings are designed for, you should be extra careful to change any of those settings unless you are prepared to do a factory reset.

Instructions for a factory data reset from recovery are in Thom's post here: Droid Turbo Reference and Tips (follow the instructions under "reset when powered off".)

 

[edit]Yeah, I don't think it's possible. Once SystemUI fails, you cannot connect to get anything off the phone. If your contacts were synced with Google or Verizon Backup Assistant, they will sync back after the FDR.

See post by sxrguyinma below: if you can connect the phone to a PC, you should be able to at least back up your photos and videos.[/edit]

A little more info about this issue here: http://forum.xda-developers.com/droid-turbo/general/psa-enable-force-rtl-layout-5-1-t3149244

 

Hey, that's great. I'm glad you were able to save all of your stuff.