Keyboard layout not respected for ctrl+key shortcuts

When the computer keyboard layout is not set to QWERTY, most text entry works with set keyboard layout, but Ctrl+<key> shortcuts still use the keys for QWERTY. For example, if I type the left-hand home-row keys on my Dvorak computer, I get aoeu as expected. However, if I want to copy text, I need to type Ctrl+J (where the Dvorak J is the same key as a QWERTY C), and similarly Ctrl+Q for cut and Ctrl+K for paste. This is not how anything else works, and messes with muscle memory.

The desired behavior would be for me to press Ctrl+C to copy, like everyone else, except that for me the C is the key that on most keyboards is labelled I (which is the same one I press if I want to type C).