Well, grammatically, there isn't anything wrong with your first sentence; however, the first sentence is, indeed, odd in a way that it emphasizes 'talking on a mobile phone' more. I'd try to explain this by using a concept of primary and secondary things. Primary in this sentence of yours is driving, and therefore, talking is secondary.
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tashiroIs the above sentence odd?Yes. The real reason for your anger is not the driving, but the talking.