I recently discussed Eucharistic miracles with an unbeliever, and he could only say "weird s*** happens sometimes". He couldn't refute them.
When that "weird s***" consists of the Eucharist turning into cardiac muscle tissue with discrete DNA, that gives one something to consider.
"...respect must everywhere be shown for the feelings of all those who are attached to the Latin liturgical tradition, by a wide and generous application of the directives already issued some time ago by the Apostolic See for the use of the Roman Missal according to the typical edition of 1962." --- Pope St John Paul II, Ecclesia Dei, 1988