When saw how well the Fenway feel could be recreated in Fla in a stadium that went up in less than a year, I have no doubt that they could build a new MLB facility that would make you think you were sitting in Fenway but without all the sight obstructions and seats pointed in the wrong direction.
BTW: I guess the Fenway feel includes small seats, because the seats in JetBlue Park are definitely smaller than the seats at City of Palms Park.