Do we?
I don't think we do. I think we need to foster a culture of honesty and rigor. Of good science. Which is decidedly different from fostering a culture of "repetition" for its own sake.
Paying for the cost of mountains upon mountains of lab techs and materials that it would require to replicate every study published in a major journal just isn't a good use of ever-dwindling science dollars. Replicate where it's not far off the critical path. Replicate where the study is going to have a profound effect on the direction of research in several labs. But don't just replicate because "science!"
In fact, one could argue that the increased strain on funding sources introduced by the huge cost of reproducing a bunch of stuff would increase the cut-throat culture of science and thereby decrease the scientist's natural proclivity toward honesty.
> and b) does not accept something for a fact just because it's in a journal
Again, it's entirely unclear what you mean here.
It's impossible to re-verify every single paper you read (I've read three since breakfast). That would be like re-writing every single line of code of every dependency you pull into a project.
And I'm pretty sure literally no scientist takes a paper's own description of its results at face value without reading through methods and looking at (at least) a summary of the data.
Taking papers at face value is really only a problem in science reporting and at (very) sub-par institutions/venues.
I don't care about the latter, and neither should you.
WRT the former, science reporters often grossly misunderstand the paper anyways. All the good reproducible science in the world is of zero help if science reporters are going to bastardize the results beyond recognition anyways...