Feelings are not the basis of deciding faith issues. Facts are.
Leaving the Church founded by Christ for a religion founded by Muhammad is to leave the Sacraments, and a faith founded on love, for a religion created out of whole cloth based on a fear of God, and one which pays lip service to both Jewish faith and Christian faith, and has elements of suppression of both.
If you want to operate on feelings you might listen to Gregorian chant.
But feelings come and feelings go, and they are not necessarily attached to anything logical.
The Catholic Church says that it is the one true Church founded by Christ and has the evidence and history to prove it to anyone who wishes to explore. Suggesting that people convert to the Catholic faith is suggesting they get back from wherever to the true Church. How can that be a sin?
And if the Catholic Church is the one true Church founded by Christ, the incarnate God of all, and the second Person of the Trinity, the leaving it is leaving truth - not some emotional thrill of listening to someone call to prayer. And that would be a sin.