No that light should blink at startup and then it would not be illuminated until you push it

Soft top switch should only be lit as you said, latches unlocked and front of roof pushed up. A lit switch is like a "go" signal. When the top is down it should only be lit when the latches are pulled down.

I read on another forum that you bought this car as a salvage. I'm not sure what kind of condition it was in but there could be some deep hidden wiring issues that have to solved first. I saw the one blink but until you know the wiring and controllers are good I'm not sure the one blink tells you that much. You should have the rear seat and side panels out and be looking for anything that might be amiss. You have made sure the switches/sensors by the axle are present and not tripped?

The car was hit in the right front corner, one of the rear axle switches had a broken "arm" when I bought it so I replaced that already.

More information - I just talked to the previous owner, they had it at the dealer a few times as the roll bars kept going up on their own, then the roof stopped working...(before the accident). They tried several times to adjust the sensors on the suspension, but it didn't work. He says the pump for the roof works, but it is something with the switches or wiring...