Re: Winding differences.
Ignore what I said about the type of windings, (I may be talking out the wrong orifice), it is an issue I don't fully understand (My memory is that if there are layers, that you want to connect the grounded side to the inside winding for some reason), but that information is not specified, so just assume that the end on the bottom on the diagram should be grounded. And I may have that backwards. I will try to find where I found this information, but it really will work either way, it was just a small incremental benefit (and I forget if that benefit was in interwinding capacitance or insertion loss or leakage or what). If it mattered, and the manufacturer knew which way it should go, they probably put it that way on the diagram.
http://www.farnell.com/datasheets/337936.pdf
Re hooking it up:
As far as your suggested wiring, B1 and B3 are ends of the same winding. Shorting those together is not correct. The little "hump" in the line from B3 indicates that it jumps over the line from B2, if that helps.
Here is an explanation of the diagram.
You will see that there are two secondary windings and two primaries.
One winding has ends at B1 and B3, the other has ends at B4 and B2.
The little dots indicate which end of the windings "are in phase" that is, if you run AC into one winding, the Voltage induced in the others will be HIGH on the dot end when it is HIGH on the Dot end of the one you are running AC into. (Of course how high will depend upon the amount of turns in each winding - more turns = higher. In your case, everything has the same number of turns.)
You are trying to get 2:1 ratio, and all your windings have the same number of turns (this is not stated, but is implied by the specs ... 1+1:1+1 and all the 600's)
So you want to put two windings in series (longer windings ... think higher resistance, higher impedance, higher voltage lower current). So make your primary by connecting two windings in series into one long winding - starting at B4...ending at B1
You want lower impedance on the secondary (shorter windings, lower voltages, lower resistance, lower impedance, higher current). So you connect the windings in parallel (keep the dotted ends together of course). So you make your secondary by connecting one end to A1 tied to A2, the other to A3 tied to A4.
So that's the simplified view... I hope it helps. But if you already knew all that, I mean no offense. There is a great document:
http://www.jensen-transformers.com/an/Audio%20Transformers%20Chapter.pdf ... which is worth reading... I still don't fully understand all of it, but most of it is clear, and I am trying.