Steering wheel going stiff, and then car needing to be restarted- sounds like a stall to me.
If you're over 120k miles, then the timing belt is suspect, but stalling could be related to multiple problems. We have problems with the PCV vacuum line collapsing and causing low idle which might cause stalling. The IACV can also cause stalling if it sticks in the closed position. Old spark plugs can cause stalling, as well as cracked coil problems. The fuel pump can also cause stalling- for example- if the stall occurs after a turn, that would be a sign of a fuel pump going bad.
Use your intuition, and get a better description of when and how it stalls, and that will help with diagnosis. Remember, you must be able to recreate the problem in order to diagnose it- otherwise you're just throwing parts at the car until you fix it. That can be costly and inefficient.
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