First, I have no doubt that ideology CAN influence replicability. Classic Rosenthal work + more provides good basis.
So, under what conditions?
On balance, this may be a benefit of ideology to help with self-correction and bolstering.
This is a problem because of tendency for overgeneralization of limited conditions to phenomenon. But,
The benefits are only accrued if researchers with different priors are playing in the same sandbox identifying +/- locations of those boundary conditions.
It is hard to identify any potential benefits of ideology producing experimenter effects that are beyond the explicitly defined protocol.
Also hard to identify benefits here.
Few benefits here too. Publication bias on the ideological dimension.
5: registration of studies (no suppression of inconvenient results)
4: preregistration of analysis plans (no undetectable analysis deviations)
3: explicit, available protocols help, but ultimately independent replication
2: adversarial collaboration
1: fix needed?