emacs major mode keys not compatible as key sequence
emacs key conventions are truly the worst possible.
suppose you have a Kinesis Keyboard with extra keys. So you want to make a thumb key as the prefix for all major mode keys.
by convention, personal key space start with 【Ctrl+c】 then followed by a letter
by convention, major modes's keys start with 【Ctrl+c】 then 【Ctrl+some key】
So, you can't, because the major mode keys doesn't really have a clean prefix.
the only way to make major mode keys compatible with simple key sequence and still conform to convention is to have all major mode's keys start with 【Ctrl+c Ctrl+c】. Which you can do if you are writing new modes, but existing modes will not change.
so you have this really sorry situation, basically impossible to fix.
The only way, is to get GNU emacs change it.
or, buy something from Best Keyboard for Emacs