It seems there is no grammatical mistake in this sentence, but I am pretty much not sure of that.
Language doesn't matter, feeling does.
Is this sentence correct?
It is correct. This is an example of post-auxiliary ellipsis see: Omitting a repeated verb
As Morgan notes there is a semantic difference between "feeling" and "feelings". You should choose the correct word.
Some may argue for a semicolon instead of a comma (arguing that "Feelings do" is a complete utterance). I think both are acceptable.