I have seen this done in fact as opposed to only in thought. There is a priest I know who devotes tremendous energy to the readings to the point of using Bibles distributed during Mass to go through a long homily dealing with what the readings convey. The rest of the Mass, the Liturgy of the Eucharist, is almost an afterthought.
That is extreme -- and I'm the one who complained on another thread that the OT readings were not so valuable as they might be to people who have no background in the story and its significance. An American Mother said her pastor gives wonderful sermons, explicating the relationships between the Old and New Testament readings, but she did not give the impression that the rest of the Mass was just a footnote or something to him.