Well, there are two simple steps to change those incentives:
1. Journals should accept hypotheses/procedures, and commit to publish whatever conclusion results, before the experiment is even started. If the experiment is not completed for whatever reason, a transparency document should be published explaining why.
2. Journals should accept only a small percentage[1] of new research. The rest should be attempts to reproduce old research, again only evaluating the hypotheses/procedures, before the attempt to reproduce has started.
The challenge here is that there's a bit of a chicken and egg problem: journals won't want to commit to publish a result if no one has committed to fund the experiment, but funding sources won't want to fund experiments if the no one has committed to publish the result. So there would need to be some collaboration between
[1] Choosing this percentage is the proper usage of P values. The goal is to attempt to reproduce experiments until the product of the P-values of the results reaches a target aggregate P. Note that this target applies to P and P'.
Example 1: Your target P is P=0.01. You perform an experiment, get a P=0.3 result. Then you attempt to reproduce, and get a P=0.4 result, for an aggregate P of 0.12. You then attempt to reproduce again, and get a P=0.2 result, for an aggregate P of 0.024. Finally, you attempt to reproduce again, and get a P=0.4 result, for an aggregate P of 0.0096, below your target P. This proves the alternate hypothesis with the target confidence.
Example 2: Your target P is P=0.01. You perform an experiment, get a P=0.7 result (P'=0.3). You then attempt to reproduce, with a P=0.9 result, for an aggregate P' of P'=(0.3 x 0.1)=0.03. You then attempt to reproduce, with a P=0.9 result, for an aggregate P' of P'=(0.03 x 0.1)=0.003, below your target P. This proves the null hypothesis with the target confidence.
The example P values were chosen for a few reasons. First, it demonstrates that you can find fairly conclusive confidence values eventually from aggregating experiments with fairly inconclusive results. Second, it demonstrates that the P=0.05 that's frequently used now is actually a very low bar of confidence, when you consider that reproducing even very unsurprising results a few times gives you a much higher confidence.