By all means! The core of the Divine Liturgy (you Latins used to call it Holy Mass, if I am not mistaken, not just Mass) is the Eucharist. That was the core when the Apostles were still ministering on earth, and when their first generation bishops took over the apostolic ministry by ordination form the Apostles in person (+Ignatius, +Polycarp, etc.).
So, the essence or nature of the Divine Liturgy has not changed from the beginning (1st century) while the outward expression of it certainly has, in colorful and different rites and traditions and cultures of the people who make up the the one Holy Catholic and Apostolic Church.
People who are not familiar with the Eucharist, as in the case of FK (and by no fault of your's FK, nothing personal here), and even of some of the people who partake of the Gifts, often think the Eucharist is a means of achiving some kind of unity or right of passage. The Eucharist can only be an expression of unity of faith, and never a means of achiving such unity. That is why, close as we are, we cannot partake in each other's celebrations of the Precious Body and Blood.
Very well put, and always worth remembering in any of these discussions.