Cite only "good papers" or "all expected papers"?
In my discipline the typical structure of an article is introduction, theory, previous research, data/methods, results, conclusion. In the section "previous research" you describe the state of the art in your field regarding the research question from your article. As I understand the OP's question, there is a group the OP disagrees with, but who are considered in your field to be important. In that case you need to refer to them (not every single publication, but one or two main publications), even if you think their way of doing things is substandard. That does not mean you have to agree with them; you can tell your audience how your approach differs form theirs and how your approach is (in your opinion) better. But ignoring an important part of your field is bad. Addressing substandard practices is how your field can move forward.

Pragmatically, not citing them in the previous results section signals to the readers, editors, and reviewers that you are not aware of important parts of your discipline or that you don't want to take part in a particular debate. Both can easily lead to your article being considered less relevant, which could get your article rejected or ignored.