Yeah, sometimes links are broken but if you simply Google GOP Caucus Room meeting you'll get the facts on this.
Your assertion that the Democrats had enough votes to pass legislation on their own is a myth. They only had the requisite 60 votes for a short time. Mitch "Yertle the Turtle" McConnell was able to filibuster legislation in the Senate for the majority of Obama's first two years.
You have a point. Why will Harry Reid not bring up for a vote over 30 bills passed by the house. He is afraid they may pass forcing president nobama to show is hand and veto them?