While it's awsome to see Google unleashing new features within Blogger, if you are unable to implement them within your own blog, you may find yourself catching the dreaded "Google Derangement Syndrone" (aka GDS) where every other phrase is "Google is so Fraking stupid" (or something like that).
In order to avoid this contagious disease (which first broke out in Redmond, WA), you need to find solutions to problems--and today's problem is implementing the star rating system within your customized Blogger blog (aka BlogSpot).
After logging into your blog, first click on Layout, then Page Elements.
A new window shold appear. Next, check mark the Show Star Ratings box...
...then scroll down and rearrange where you want the star ratings to appear.
Save your changes, then click on the Edit HTML section (which should still be underneath the Layout tab).
After backing up your template, scroll down towards the bottom left of the screen and hit the Revert widget templates to default link.
Update: Inserted image for clarity.
Update 2: Also, for those of you trying to get the comment form working, Amanda has provided an excellent solution over here.