Hey dnnydllr,
I know I'm coming into this thread a little bit late, but I think I can answer a few of your questions. I'm a student at the University of Guelph (Honours Biological Science) majoring in Zoology, so I've got a decent understanding of the topic.
but rather that all species came from a common ancestor through the process of speciation. I quite frankly don't see how this could possibly make any sense. Even through billions of random mutations, I don't think bacteria could turn into something as complex as a human
I think the problem here is that you're thinking of it in terms of having 'came from' or 'turned into'. Evolution isn't a plastic process that occurs within the life time of any given organism, or even any given hundred organisms. The concept is that some organisms, due to their inheritable traits, will have a higher reproductive success than other organisms of the same or of different species. Here, let me give an example:
Let's say we have an entire population of Yahtzee's (yes, as in clones of Ben Croshaw). Now let's say that 99/100 members of this population have very little body hair, but every 1/100 by luck of genetics has a thick fur coat of hair. Now put this population in an arid, hot climate (North Australia, for instance). It's obvious that all the not-hairy Yahtzees would have an advantage over the hairy yahtzees.
Now lets switch things around and put all those yahztees in a Cold environment. The not-hairy yahtzees would have a harder time surviving, whereas the current minority of hair Yahtzees would be better adapted to their environment. What this would result in is the Hairy Yahtzees having more reproductively successful offspring, increasing the ratio of hairy to not-hairy Yahtzees. Eventually, you would instead have lots and lots of hairy Yahtzees, and very few not hairy yahtzees.
Now lets say that these two populations of yahtzees currently exist in two different geographical locations (both hot and cold). The way speciation would occur in this case is that if the cold, hairy yahtzees became though different from the warm, not-hairy yahtzees that they couldn't mate and produce viable offspring.
That is, more or less, the process of speciation watered down and trickled with a pop-culture reference. If you like I could delve more into it, but this post is already monstrous as it is.
Any more questions?