I don’t know where you are quoting that from, but it doesn’t sound remotely like reality.
The Democrats refused to do a conference. It wasn’t McConnell blocking it (he can’t block it). They didn’t want a conference because a conference bill would ALSO have to get 60 votes in the senate, and they knew any changes made in conference would therefore destroy the bill.
So they knew their only hope was to pass the Senate bill as-is. But they can’t do that, so they are working on a “reconciliation” bill to fix the senate bill, which they could pass in the senate with 51 votes.
Basically, they know they can’t send the senate bill back to the senate to be fixed, it would take 60 votes, so they are going to “send it back” as a separate bill and use 50 votes.
Except they don’t have the votes for that either, nor can they work out the logistics.
Link to article: http://www.redstate.com/dan_perrin/2010/02/25/sen-conrad-the-house-goes-first-or-obamacare-dies-thank-you-senator-demint/