yet still administer the Holy elements to them during communion?
First of all. The person taking communion is committing a sin (mortal at that). The Priest gives the person the freedom to commit the sin. We are a free country. Even free to commit sin.
Clergy is also obligated to treat the body and blood with the utmost respect.
There is a responsibility on both sides. If a priest knows full well the elements will be desecrated, he should withhold.