The lack an oppressive conservative authority should have debiliating effects on the LCS, after all - they're losing their raison d'etre.
Well that and remember they are still a "Crime" Squad in a society that by all means has outdated crime. Imagine a system of effective rehabilitation.
Difficulty should be parabolic. (I've said this before)
Conservative is hard because it is hellish and brutal.
Liberal is hard because it is perfect.
Are you being sieged in a liberal society? Well obviously they use their excellent police negotiators to convince your members to stop.
In this case as we described it applies
Jails in a Concervative society are hell holes where a member is just as likely to die from the guards as they are from the inmates and regular beatings are manditory.
Jails in a Liberal society are havens of rehabilitation where even the toughest murderer finds salvation, in fact a member may develop useful job skills while inside.