Can carrots be a substitute for brushing?

Notice I said a substitute, not a replacement (yeah, no flouride ect.)… but let’s say that starting today, every time I go to brush my teeth (twice a day), I eat a raw carrot instead. Long term-wise, will my teeth and gums be just as healthy 40 years down the road?

Also, short term-wise, (never tried this), will it control morning breath, and bad breath in general?

I do know carrots come from a rather odd (poisonous) family of plants, and I do know about that tingly feeling that carrots and celery cause… do these things have something to do with this question?