Alarm problem

I have just purchased a 93 Suzuki Sidekick and have replaced the exhaust manifold. When I disconnected the battery to reset the computer I found out that the car has an alarm/disabler which also reset itself and of course now the car will not start. I do not have a remote to shut the alarm/ disabler off as it did not come with the car. Is there a way I can bypass or disconnect the alarm system? It appears to be a stock system because the control box has a Suzuki sticker on it and it plugs in to a stock connector uunder the radio. I have tried unplugging that connector but the car still will not start.
The car is a '93 4 door 16 valve 1.6 litre