Should I respect other people's religions?

My point of view is that there is no reason to believe any god exists without evidence. So I find religions a very irrational idea and I mostly heard people saying We have to respect other people's religion But I have barely heard: We don't need to respect other people's religion but just respect people despite it is not unheard for me. My question is: Is either of them correct? If so, why? Edit for Clarification: When I say 'not respecting a religion' I mean talking badly about or discrediting it, both of which I think differ from not tolerating a religion or its practitioners.