[quote=Dervish]
Halo, minor lore thing I can't readily check, but Rasputin does not seem like someone an Alliance ship would be named after. I can't recall if any are named after people, but I can't imagine they would have named a vessel in honour of a widely detested monk who tried to usurp control of Russia by manipulating the royal family, helping pave the way towards the October Revolution which saw an ineffective royal government fall to the Bolsheviks. Alliance ship classifications I know off the top of my head are dreadnoughts (mountains), cruisers (major cities), and frigates (historical Earth battles). Please look into this.
[/quote]

Those naming conventions apply to Alliance Navy ships, not to all ships the Alliance owns, I believe (or, at least, those naming conventions are included under "Alliance Navy" in the wiki, whereas nothing is said about the convention for non-naval ships). The Systems Alliance is the representative body of Earth/humans across the galaxy, encompassing exploration, economics, and research as well as military matters - and as the Rasputin is used as a research vessel by the quarians, it makes sense to consider that it wasn't necessarily a military vessel.
You are right that the likelihood of someone naming their ship after Rasputin seems unlikely, however, simply because of who he was (read: wow that guy was a dick). And I'm not [i]entirely[/i] sure where the aforementioned naming conventions apply, either, so I'll change the name. It's not particularly important - I only really picked the name because it sounded right and I recalled that Alliance ships were often named after people/places on Earth. Thanks for pointing it out! :)

EDIT: There's something I'd like to make note of, too. It seems fairly unbelievable that a quarian would want to research AI in the way Kali does, but as I researched it I thought it more and more likely. 
[hider=Explanation and Thoughts]The quarians have such an affinity for technology - partially out of necessity for survival aboard the Fleet, but demonstrated even prior to that when they lived on their homeworld. They were always technologically advanced, and always very progressively-minded in their approach to science - they aren't conservative types, I don't think, stuck in old ways and traditions and not desiring change/progress. Technology is now more intrinsic to them and their culture than to any other species' - I mean, look at the symbolic significance they give their suits. I think it makes sense for the quarians to naturally tend towards creating AI, life in machines, considering this. In ME, the psychology of many of the races (including quarians) is not too dissimilar or alien to human psychology, and the fact that humans like to anthropomorphise things and have a long-running obsession with creating lifelike robots and programs is obvious and well-documented. It's fairly reasonable to think the same would happen to the quarians, except potentially to an even greater degree considering their long history of giving technology cultural significance. And there is precedent for this from the original lore - both in their initial creation of the geth, but even after that when Tali's father begins reconstructing geth for his research.
All together, I think it's entirely possible that the normal quarian wariness of AI could, occasionally, give way to curiosity fuelled by their natural affinity for tech and the desire for progress and development. It even says in the wiki that despite their wariness, the quarians are far more likely than most to regard machines and AIs as people, rather than things. They have an understanding of and empathy for them, probably because of the cultural attachment to (and dependence on) technology that led them to create the geth in the first place.
Anyway, that was all very longwinded, but I thought explaining my reasoning would make the character more believable, rather than seeming like a "special snowflake" who's just different from all the other quarians.[/hider]