Once the replacement starter is installed, you will still have to pinpoint the cause of the lack of the solenoid drive power. You mentioned and aftermarket alarm. These often come with a starter interrupt feature. On an MTX equipped car, this is most commonly inserted in the same circuit line that is missing power. If you are familiar with the installation of the alarm, keep this in mind as you troubleshoot.
According to the schematic: The main battery feed to the starter should be a RED cable and is connected directly to the positive terminal of the battery. The schematic shows a BLK/OR wire also going to a starter terminal - this is supplied via a pair of parallel fusible links.
Start at the clutch interrupt switch. One wire (WT/PK) should be hot whenever the ignition switch is in START. If so, check the other wire (R/LB) on the interrupt switch with the pedal depressed and as above. If battery voltage is measured on both terminals of the switch but not on the starter S terminal, there is an open circuit between the switch and the starter.
If no voltage was measured at the switch, check the engine compartment fuse box F1 & F2. Also, look for an interrupt switch as above.
Steve