Even if humans "infected" the whole solar system, how can we spread from there? The Centauri system is the next closest star system [1], most likely without planets there, and is over 4ly away. That's roughly 25 trillion miles away. If we could travel at the same speed as New Horizons (36,373mph) [2], it would still take 77.5 thousand YEARS to get there. [3]
We are not gonna pollute the universe and its a silly to think ourselves capable of such a feat.
[1] http://upload.wikimedia.org/wikipedia/commons/e/e9/Near-star...
[2] http://en.wikipedia.org/wiki/New_Horizons
[3] http://www.wolframalpha.com/input/?i=time+to+travel+24.7+tri...