The four power transistors on the lowest part of the PC will provide the current source for each of the LED groups, driven in turn by the smaller transistors immediately behind the power transistors. These in turn will connect to the dedicated controller, which is not something that can be bypassed.
Attempting to drive the LEDs directly by some means that bypasses their dedicated (very simple!) drive circuitry is just going to lead to disappointment. If the four groups are disconnected and wired up outside of the dedicated controller, how would the OP do so? The max current for the LED groups is unknown, their colour or positional grouping is unknown, whether the groups are in series or parallel or a combination of both is unknown and so on. I'm all for experimentation, but in this case I think a good outcome is very, very unlikely.
It might be worth measuring the voltage coming in on AC, and the voltage going out on each of the 4 channels... (between 1 and C, 2 and C etc) when the program chip is set to static on.
If its the same, then just cut the controller out and replace with a joint.
Sorry Little Spark - this is just not going to work. LEDs are not like filament lamps; they are current-driven DC semiconductors which have to be driven from a current-limited source (approximated in simple DC single-LED circuits by a series resistor to provide a relatively constant current of, say 30mA at their voltage drop of 2.5V or thereby). LEDs are particularly sensitive to reverse-drive voltages and accordingly are never driven from AC voltage sources. The outcome will be for all of them to go pop simultaneously.
Seriously, don't try it.
In reality, the right value of current limiting resistor (1 per output) will probably do it.
Reply to the thread, titled "Rewiring christmaslights" which is posted in UK Electrical Forum on Electricians Forums.