Other than 12V grounds, there's nothin really tying those systems together. The starter and alarm, possibly, but the horn (alarm and steering wheel horns are different) and cruise control? Nope.
If the alarm has been set off, it'll kill the ignition which will give you the not-turning over effect. When you turn the key, does anything click? At all? The contacts in the early model steering wheels, cruise control panel liked to be intermittent in the two vehicles I'd used cruise control in. Does the switch on the dash light up or no?
The horns are amazingly simple, so, I'll post their diagram:
http://www.cygnusx1.net/Supra/Librar...x?S=Main&P=035
Edit: All the brown and white wires on the lower side of the drivers side are landed on grounds right? I believe those grounds serve most of the systems you're having problems with.
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1988 Mk3 Turbo Targa - 17.5psi, 486hp, 494tq.
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Who came up with this 500px wide BS?