Using a less-common synonym will usually avoid the unwanted connotation.
In this case, I prefer "such as" to "like".
"People like you" ==> "People such as you".
Replacing "People" with "Folks", "Citizens", "Men", "Women", "Kids", and other more-specific nouns will also work.
You can also try:
- "People like you, for instance"
- "People like yourself"
- "People such as yourself"
- "There are people -- you, for example ..."
- And the versions with "folks" instead of "people"
Phrases with strong, pre-existing, and shared emotional connotations become clichés. Creativity in your language use will let you make stronger statements with less chance of falling into clichés.
But there's one catch: avoid getting too wordy or obscure when using alternatives. Even my own may be poor choices for different uses.
(My answer overlaps with several previous ones; I gratefully acknowledge their efforts.)