Your kill switch is more than likey more like a on/off switch. Interupts the signal going from the key to the starter. More than likey two wires going into the alarm. You need to find the two wires and splice them together. Then ditch that alarm.
alarm
Key-------------{/}---------------starter
Key-------------{/}---------------starter
....................|___|
.............(bypass the alarm)
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1987 Buick T-type
1998 HD Electra Elide
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