Most Reformed Christians also believe in the real presence that is not carnal. Christ is truly albeit spiritually present in the sacrament.
Although, on one hand, Calvin denies the descent of Christ's body to us (absentia localis), he paradoxically speaks of such a descent by the Holy Spirit as the source of real presence (praesentia realis) in the Supper. Calvin would only allow the word "real" (reali) to be used if it meant that which was not fallacious and imaginary or the opposite of that which was deceptive and illusory. On the whole he preferred the word "true" (vero) to describe Christ's presence. In normal speech "real" connotes something that is existent, objective, and in the external order. When used with reference to the Supper, "real presence" implies "local presence," and, of course, this is denied by Calvin. So then, Calvin would allow the phrase praesentia realis only if "real" was used for "true" as is sometimes the case in common or vulgar parlance. As for the mode of "descent" (modum descensus) Calvin maintains that it is the Holy Spirit who descends but not alone. Christ "descends" by His Spirit. But again Calvin employs paradoxical language when he maintains that the manner of descent is that "by which he lifts us up to himself. There is, so to speak, a simultaneous descent and ascent. What is in view, here, is sacramental "proximity" effected by the Spirit upon the ground of the mystical union of Christ and His people.Calvin maintains that the sacrament's effect is more than a mere stimulation of the intellect, imagination, and emotions at the sight of the portrayal of the spectacle of the Cross. It is this and more. "In participation in the Supper faith connects itself with something outside of itself and other than a mere idea, and, in so doing, effects in the spiritual realm a real communication between itself and the earthly reality such as that figured in the act of eating the bread." Calvin distinguishes between eating and believing. Faith or belief receives Christ and the promises, but eating implies more. Eating is the result or consequence of faith. The spiritual transaction which occurs possesses the nature of nourishment or vivication. "...the flesh of Christ is eaten by believing because it is made ours by faith..." Hence, the eating (nourishment) follows from believing (appropriation). Or, in other words, faith is a vessel that receives something from outside -- the benefits of Christ's flesh and blood which nourish the believer and impart to him eternal life. (Calvin's Doctrine of the Spiritual Presence of Christ in the Lord's Supper)
This was a concern for my wife and I at our wedding. We are Roman Catholic, however many of our family are not. We discussed this with our priest and during the wedding rehearsal, he explained to the family in attendance what the rules are. Everything went very well.