I wrote a blog post before on how to remove the Edge icon in the Taskbar on Windows 10, https://ccmexec.com/2015/12/removing-the-edge-icon-from-the-taskbar-during-osd/
This post will cover how to use the same scripts and deploy a customized Taskbar instead with the Internet Explorer shortcut instead of the Edge icon.
1. Download the Script from Technet Galleries https://gallery.technet.microsoft.com/Manage-the-taskbar-remove-c3024e40
2. Extract the content to a folder that can be used as package source. It should look like this.
4. On a Windows 10 client modify the Taskbar as you want it to look like adding the IE icon in this case and removing the Edge icon.
5. Copy the folder “C:\Users\%username%\appdata\roaming\Microsoft\Internet Explorer\Quick Launch” folder to the “ManageTaskBar” folder in the structure show above.
6. Remove the space in the “Quick Launch” folder-name to “QuickLaunch”
7. Open the “QuickLaunch” folder and right-click on the the “User-Pinned” folder which is hidden and remove the Hidden attribute, including all subfolders.
8. Open Regedit and browse to the following key, “HKEY_CURRENT_USER\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\Taskband”
9. Right-click on the “Taskband” key and select to export it, save it under “ManageTaskbar” in the folder structure created earlier with the name “TaskBandCU.reg” so that the content of the “ManageTaskbar” folder once again looks like this.
10. Then you are ready to create a package as in the previous blog post and the result will be in this case a customized Taskbar with the IE icon instead of the Edge icon.