Reagan has probably observed her daddy, who eats nothing that is green (unless it's candy coated), & figures if he won't eat his peas, she won't be gagging hers down either.
What interesting visuals from Mr. Obama: forcing vegetables & ripping off band aids, both things associated with children who don't know what's best for them. If he considers his audience to be the electorate who put him in office, I suppose his examples are appropriate.
You eat your peas, Mr. Obama. The pea growers of America are asking that you give peas a chance.
A culinary tip: perhaps they'd taste better if you stuffed them with your proposed tax increases.