So far it's looking like it's a split between Adgreck and Alex. In the meantime, let's look at the Factions and their agenda, and more importantly, how they will likely interact with yours.
The Utopians
The Utopians' agenda can be summed as making a Utopia on Planet. They come with newfangled and untested ideas of socialism, democracy, and so forth. With an idealistic view towards their population, they tend to have more Talents - Or in-quest, the well-off citizens. As Alex, this also means that the Utopians will have a generally outsized political weight in discussions. As Adgreck or Luthais, well, population is power. Among the factions, the Utopians don't really have any particular weaknesses.
The Hive
The Hive's agenda can be summed up as 'The Empire, but actually working properly'. They have a vision of a corruption-free ordered civilization, every person alive knowing their place in life and living it so accordingly. Their superior planning and organization leads to a regimented population/industrial growth, but this stifling order is pretty awful for research or accumulating mana reserves. As Alex, the Hive will be a major part of the Colony's industrial activities, giving them substantial political say. As Adgreck or Luthais, well.. The Hive has population AND production.
The Druids
The Druid's agenda can be summed up as 'We already fucked up one world, let's not fuck up another'. The have a vision of a civilization living in sustainable harmony with the world, and certainly not despoiling it. This attunement and care for the world extends to the point where they can natively capture/tame the wildlife of the planet already. As Alex, the Druids will be a major part of the colony's agriculture and everything-wildlife activity, making them a pretty huge political deal. As Adgreck or Luthais, The Druids will have a terrifying nontraditional army of wildlife native and not.
The University
Your agenda, whichever character you select, is the advancement of knowledge. As Adgreck, this is largely based on your own research. As Luthais, this is more collaborative with the other factions. As Alex, this is more charting out research as entwined into politics and managing the 7+++ different directions the factions would rather research towards (or don't want researched, for that matter). Obviously, being the primary researchers gives you quite a bit of political influence.
In-character, your codes (basically the Scientist's Code of Honor as presented in GURPS Alpha Centauri) roughly obligate you to:
Never lie or falsify results.
Never permit your personal desires from blinding you to the truth.
Always argue with logic and evidence as opposed to appeals to authority.
Share your knowledge freely, and respect those with knowledge to share.
The Traders
The Traders have a pretty straightforward agenda. Cashing in on Planet! They plan to do so ahead of everyone else, of course. Their outlook is that of 'wealth is power', and are pretty adept at accumulating wealth quite rapidly. Wealth, in this case, translates directly to either research (more stuff means you can do more experiments) or mana reserves. As Alex, their monopolization of key industries means they're a major political factor always. As Adgreck or Luthais, well, mana reserves can be used to rapidly build things or fund episonage. Industrial episonage.
The Nobles
The Nobles are in this for the GLORY. They're the disaffected elite warrior caste of the Empire, after all. They value strength and power, and are naturally pretty good at outputting elite soldiers. As Alex, the Nobles are one of the two major military forces in the colony, competing with the Believers. As Adgreck or Luthais, the Nobles are pretty strongly incenvised to use their much better military to well just bully people for stuff. Including, potentially, you.
The Believers
The Believers are here for their faith. The Old Empire lost their way, but they're here to do things properly and set wrongs to right. Planet has been given over to them from on high, and they will not waste what providence has granted to them.
You.. okay, you're pretty much guaranteed to conflict with the Believers no matter what. As Alex, a good deal of your research is going to twig heresy buttons (consider this proposal: research the underlying mechanism of a sacred artifact that heals people who drink from it), among other stuff. As Adgreck or Luthais, not only are the Believers ideologically opposed to you, they're set up to exploit your big weakness (episonage). And are militaristic in attitude. So that'll be fun.