After installing the latest version of UltraEdit and configuring it, I discovered that the Artistic Style source code formatter is built in and easily added.
From the Advanced > Configuration menu option
Choose Toolbars / Menus > Customization and then select the Customize Toolbar button.
Scroll down on the left side until you find the Artistic Style toolbar item, then select it and click on left arrow to add it to the toolbar, and select OK.
The end result is a built in toolbar button for AStyle..
…which presents the formatting options dialog whenever you click on it.
Much easier than my original post!