I use Dvorak and regularly type in both English and Chinese (Pinyin).
On Linux and Mac it's no issue to input both using Dvorak.
On Android, however, none of the Chinese input methods support Dvorak so I had to decompile and modify Google Pinyin's APK and rearrange the XML layout files to Dvorak.
https://github.com/dheera/android-googlepinyin-dvorak
I never learned QWERTY, so I'm extremely bad at typing with it even on a phone, regardless of language.