The AoA vane input is used in the 737 ADC. A failure of said AoA will result in completely wrong speeds and altitudes. It even affects GS and W/V displays, all are wrong.
We had a few incidents (one causing a RWY overrun) due to stuck AoA vanes a couple years back. The above result was experienced in the real world situation, as well as being correctly simulated during simulator training.