Sounds more like a ground problem than an alternator problem to me.
I believe there is a large bolt somewhere on the steering column that attaches the ground wiring from the dash cluster. That may be the first place to look.
Check your battery with a voltmeter with engine off, then on. Should be 11.5 - 12V off, and 13.5 to 14.4V when on (accessories off).
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2009 ML350 (106K) - Family vehicle
2001 CLK430 Cabriolet (80K) - Wife's car
2005 BMW 645CI (138K) - My daily driver
2016 Mustang (32K) - Daughter's car
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