Stupidity At The Polls in Life After 60

We are one of the few countries I know of that eliminates many good candidates for office by the stupid preliminary process. There have been times when the candidate I would want to vote for has dropped out before our state’s primary. So here is what I propose.
Congress, (oh, shutter that thought!) picks one day when every state votes for the President. The two with the highest number win. No clear winner, then go to the process of elimination. At least this way, the entire country could vote for the same candidates at the beginning instead of letting a few early states getting to narrow the field.