I see them believe the law is a tool that they use to be evil with. If you're lawful evil' date=' you believe in the law and what it can do for you.[/quote']
You're looking at evil as a motivation - I'm looking at it as a character trait. One doesn't have to view the law as a tool to accomplish evil ends to be an evil person who lives within the law.
To believe in the law, for the law's sake is to do it for the citizens, which is a very selfless attribute.
Except that you are one of those citizens, so the strength of the law is strength protecting you. No selflessness about it.
Why would a person who otherwise follows the law NOT kill a guy who's blackmailing him, just to stop the threats?
To be realistic... this doesn't really happen in FL, in my experience. However, even if it did, perhaps she takes the view that going outside the law weakens the law, and the greater advantage that the law provides her is more beneficial than going outside it to take care of this one individual annoyance. Perhaps she even intends to turn the law to her advantage, to outlaw blackmail, and then use the law to punish this person in the future.
In FL, lawful evils can't be bribed. They can't refuse to follow a criminal. They must complete those duties. They are supposed to do so because they believe, again, that the law is a valuable resource that needs to be preserved for the good of all... Especially with the slightly limited means of changing law, as many Lawful Evils in a position of power would no doubt try to do, this makes it VERY difficult to correctly RP a lawful evil.
Yes. Lawful people don't take bribes that violate the law (bribes that don't violate the law would be just fine, as I'm not aware of bribery being illegal in any city)... because for a person to be lawful, they must not be the type of person that breaks the law. Again, your ethos is not how the world sees you, IT IS WHO YOU ARE - if your ethos is lawful and you are not being lawful, you are breaking RP.
Also, yes, Tribunal Adjudicators must chase criminals... you seem to be confusing lawful evil with Tribunal evil a bit here - they are distinct, though related, concepts. A lawful evil that is NOT a Tribunal is actually not required in any way to chase criminals - they aren't even required to report them, as NOT reporting them isn't against any law posted that I'm aware of.
I'm not disagreeing that lawful evil doesn't require a bit more finesse to pull off than chaotic evil... but chaotic evil is an align/ethos combination any five year old could pull off. "It's a little harder to RP correctly" isn't really an argument against the setup in my opinion - I just view it as you needing to broaden your RP.