Hi,
You're close, but you're missing a key element.
When you want to change a view, instead of guessing which view you want to edit, I would rather recommend you to use the "Display view files" setting of the HikaShop configuration:
www.hikashop.com/support/documentation/5...g.html#advanced_main
With it, you'll be able to easily find which view file you want to edit, as explained here:
www.hikashop.com/support/documentation/1...-display.html#layout
You'll see that it is checkout / show_block_cart that you want to edit, not checkout / cart
And when you edit the correct view file, you'll see that you have a drag & drop interface in order to customize it without having to touch the code:
i.imgur.com/DP8VGe8.png
There, you can just swap the "TAXES ROW" and the "SHIPPING ROW".