Before you wonder, the following bugs disappear when I disable ABP or delete my existing Firefox profile and start afresh. These have appeared in two different systems now, so I want to know what the problem is before I delete profile everytime.
As of now, this problem pretty much kills two sites: http://www.google.co.in and http://www.thinkdigit.com/forum.
On Google, with ABP enabled, I am unable to type in the search form. It just does not let me put the cursor in the search bar. On thinkdigit forum, moderators' usernames are hidden and so are all timestamps. Look at the screenshot below.

This happens on my netbook and office desktop. On the office desktop, deleting my Firefox profile fixed the issue. But I want to know what is wrong.
I use six or seven Fanboy's lists and the bug persists when I disable all of them and other addons too. As soon as I disable ABP, bug goes away.
Other addons:
Chatzilla
Adblock Plus Popup Addon
Element Hiding Helper for ABP
Download statusbar
Google Advertising Cookie opt-out plugin