Hopefully Facebook will update it soon with a way for users to scroll through it properly inside Facebook.
If you are not a fan of it, and would like to get rid of it temporarily, you can actually hide it.
If you click on the Options button on the bottom right, you can see the option to "Hide Sidebar"
Once you hide the sidebar, your chat will appear on the left sidebar like the image below. Then, when you see someone you want to talk to, just click on one of their names.
New Chat Bar
After hiding Sidebar