For those that would like to try JellyBean Keyboard 4.3 Pro, and yes it is very similar to the Google one which is why I like it, plus very stable:
https://www.dropbox.com/s/mh1c1xf5xxn7gev/Jelly_Bean_Keyboard_4_3_PRO_1_0_4_PRO_apkgalaxy.apk
I would double-check with Britton about a homescreen thread, after I suggested that I realized that it wouldn't technically be a "root" thread. I know there is a huge thread on the general SGS3 page. However, I do think it would be cool for the smaller VM rooted community to be able to share ours without wading through thousands of posts on the other thread (it really is that big). Like I said, get Britton's input, he knows way more than I do about the ins and outs.
P.S. For those that want it, here is Xposed, if you install XBlast Tools from the downloader in the framework, you can mod your keyboard!
https://www.dropbox.com/s/864s60nwi8g5545/de.robv.android.xposed.installer_v21_77db90.apk