I am exhilarated to finally have figured this out. Kill those bloatware bookmarks!
To note, I did this successfully on my SCH-I545.
Here was my process:
1. Root your phone. If you've never rooted a phone before, you basically have to download the Android Developer SDK, then follow this guide: 
How to Root Galaxy S4!GalaxyS4Root.com | GalaxyS4Root.com
2. Use this program to install sqlite3: 
https://forums.androidcentral.com/e...Soft.util.sqlite3forroot&hl=en&token=cyl0GXyi
3. Install "Terminal Emulator": 
https://forums.androidcentral.com/e...s?id=jackpal.androidterm&hl=en&token=ke6iKSPj
4. Open "Terminal Emulator" and use the following commands:
	
	
At this point a dialogue should pop up and ask if you would like to provide root access to "Terminal Emulator". It will take a couple of seconds to pop up. Accept it.
	
	
	
		Code:
	
	
		sqlite3 /data/user/0/com.sec.android.app.sbrowser/databases/operatorbookmarks.db
	 
 You will now be inside an SQL prompt and should see "sqlite>" heading your commands.
	
	
5. At this point those bookmarks will be gone. Enjoy!
If you have any problems with this ask away! I am strongly against companies putting unremovable bloatware on the devices we BUY and OWN.
I should note this is for getting rid of the bloatware bookmarks on the stock "Internet 1.0" browser. For Chrome all you have to do is disable a service called "com.android.providers.partnerbookmarks" in the application settings. This doesn't require rooting your phone. Refer to: 
[Q] Deleting Samsung Bookmarks from Chrome ? - xda-developers