As I better learned my Catholic faith I developed a stronger Catholic identity and openly referred to myself as such despite confrontations with protestants. I also became painfully aware of the large number of Catholics in name only. These "fallen-away Catholics" still consider themselves Catholics in good standing with the Church. Still to this day faithful Catholics battle the negative stereotypes that exist because of these people. I quickly learned that I needed to refer to myself as a "practicing Catholic" to differentiate myself from this group.
But I have learned that a "practicing Catholic" is considered someone who goes to church regularly, not necessarily someone who believes and lives out the Catholic faith. For a while I subscribed to the idea of referring to myself as a "conservative Catholic" but people like Cardinal Dolan have been referred to as such so it's clear that I do not fall into that camp. Besides, the idea of liberal/conservative Catholics suggests that the two are like political camps where both are Catholics but with different views on who God is, kind of like protestantism.
At one time being called "Christian" was all that was needed to distinguish the faithful followers of Christ, but it became necessary for those who were faithful to all of Christ's teaching to differentiate themselves from those who did not by calling themselves "Catholic". After the disaster better known as Vatican II it is clear that the Church is becoming more divided between those who accept Catholic teaching as it has traditionally known, and those who accept compromise and wish to "make a mess".
Now I consider myself a "traditional Catholic" which helps me distinguish myself from the millions of pseudo-sedevacantists who reject fundamental Catholic doctrine on marriage, the sanctity of life, and even the Holy Eucharist. I've been introducing myself as such to both Catholic and non-Catholic alike for some time now. Through this introduction I have found a greater opportunity to evangelize others - even apostate Catholics because they retain a certain nostalgia to what was lost. Most of all I love sharing the profound beauty and deep reverence that is found in the traditional Mass!