I feel you are arguing a strawman here. Firstly, we don't have a full knowledge of genetics and cellular processes, that's on-going research. Secondly, we don't really know what the conditions were like on Earth when life first appeared which is important for trying to work out what happened. And thirdly, I'm not sure that 'science' assumes that life will almost definitely spring up by happy accident etc...
I think if we find fossilised bacteria on Mars or actual life on Europa then perhaps we can be a bit more optimistic on life's chances throughout the universe. Let's get some samples and evidence first, yeah?
Also, it's an interesting & fascinating problem but really most of the research labs and equipment are working on other things that have more tangible results on our lives!
Personally I find it suggestive that we continually push back the likely origin of life on Earth further and further back, till we are actually close to the point (okay, about a couple hundred million years after formation, but that's pretty early given the Earth is about 4.5 billion years old or so) that the Earth-moon system formed. So I sincerely believe that bacterial life forms pretty much as soon as it can in the universe, when the conditions are right. But that is purely my belief. I would like to see some evidence to back this up!