Can I use these interchangeably?
Do you expect me to do nothing? You should know me better by now.
Do you expect me to do nothing? You should have known me better by now

Question

Answer

The tenses in the second one don't align properly. 
The second half would match with 'Did you expect...' instead, and in that case, it refers to something that happened in the past, so no, they aren't interchangeable.

Answer

The first one is correct because the tenses match. 
Tip: 
Write with “parallel structure”. Words in sentences  should match in structure and in tense.