LPI typically flies only libs. LR is used to gank, so they fly GB's and bombers and the Scylla a lot.
This in turn draws the lawful indies, who have gleaming LABC's and dreads.
LR gets the indie gank squad, decides to make indie alt....profit.
Pretty soon you've got a bunch've people sitting in nice navy caps who go "Oh, well, the gank happened to me." as they open up.
On that same token, when rogues are just in snubs, the caps know they can't get a kill. So, to balance this out, they often pick on a few lawful snubs and engage in 6v2 combat (example number)
At this point, the snubs are having panic attacks and cry for help. But nobody listens, because they don't want to leave the safety of the cap.
[LN] Themselves I have never seen gank, they tend to get pretty miffed if the indies show up to escalate a fight into a gank. They're the honorable PVP faction of liberty, compared to what I've seen occur with some of us untagged folk.
Also keep in mind, lawful ID gets a lot more leeway. They basically have the law on their side, and luckily for them, they choose when they have to follow it.