cutting and capping wires will work until you cut the starter interrupt. The alarm should be connected "in the middle" of the starter wire. if you don't reconnect the ends, the car doesn't start.
If you can't an alarm shop to un-instal it, I'd look at the wires and try to see where they go. All the thin wires should go to places like the horn, siren, pin switch, etc. These should be ok to cut and cap. The starter interrupt wires should go to heavy/thick fiero wiring near the steering column - yellow, pink, purple (or maybe the alarm has thin wires going to a relay and wires from the relay go to the heavy/thick wires. The heavy/thick yellow, pink, purple wires need to be reconnected - use solder or a butt splice (if it fails, you're not starting).
If you begin cutting and removing wires, i would do ONE at a time, then start the car after each cut. When you cut a wire and the car doesn't start, firmly reconnect it then trace it until you get to the original fiero ends and reconnect them.
I hope this makes sense.
PS. Clifford is a PIA. It may have a battery-powered siren that will sound if it's disconnected. Just wanted to give you a heads-up. if it was me, i'd just stuff a rag into it and set it in a corner until the battery runs out or get an assist from my friend the Hammer
Also, a black wire may go to the horn - if it grounds, the horn will sound.
[This message has been edited by PaulJK (edited 06-19-2014).]