That sounds like a fantastic idea, and there's a lot of things in prison that political activist types do to better themselves. Right now I think events pop up that either wound your character, increase their Juice, and I believe the capacity to learn skills from other criminals. Meeting contacts and sleepers in prison could be useful for a character that picks up a several year sentence. My imagination runs with things like an LCS prison gang opposed to the Conservative Brotherhood prison gang or the Mafia's prison mooks. Not sure if the prison event system could even handle complexities like that, so take those less as suggestions and more as idle thoughts.
Targeted violence sounds like the way to go. It creates a procedure of gameplay through which multiple characters with various skills can excel and contribute to a common goal. Think about it: Let's say you want to commit acts of violence against the Corporation. You would want to go in and steal Secret Corporate Files, publish them, and then when the public is scrutinizing them you come in and start breaking things and shooting people to win the day through the public's very short attention span. Constant and sustained violence would require hackers, sleepers, and skilled thieves to be working constantly alongside journalists to manipulate public opinion in favor of liberal idealisms even though the media are owned by conservatives. Public opinion polls would be much more useful, maybe even necessary.
Now that I think about it, I'm wondering if the news system could be a battleground all to itself. I'm sure that within the context of the game the conservative media establishment would be more than happy to throw its own under the bus in order to draw attention away from issues you've made hot topics in the media. The Corporation might leak Evidence of Church Corruption to take attention off of itself, or the AM Radio Station could run a news story on corruption within a petty liberal business or institution like the Latte Stand that actively turns public opinion against liberalism. Turning conservatives against eachother temporarily to save their own skin would be a great liberal victory for the LCS! Maybe it'd give you free license to attack a new target instead of the one you had intended too. Bonus points for the Liberal Guardian's monthly publishing being the limiting factor in violence. (I'm not sure how these things work so please don't take offense if I'm spouting off about things I clearly have very little understanding of.)
I'm not quite sure the LCS would have ethical limitations in regard to genetic experiments. They don't have ethical problems buying up AK47s illegally, gunning down crowds of people, or kidnapping then brainwashing via savage beatings and mind bending drugs. LCS are very much pragmatic hypocrites convinced of their own utter righteousness and the endgame of genetic experimentation is something extremely liberal: engineering people so there is no significant differences between anyone, and things like skin color or race would be regarded as entirely cosmetic since everyone's a post-human. Forcing equality on everybody is clearly the most liberal thing there is. But then this is
your LCS in
your mod, so they are whatever
you want 'em to be.

Cheers.