Is it appropriate for Romeo to deny his family name for love?

This question is an opinion question, so my answer may be very different than yours. However, we have to consider the same basic points to reach our respective conclusions, so let's go through some pros and cons.
Reasons Romeo should deny his family name:

His name doesn't define him. As Juliet said, "a rose by any other name would smell as sweet." 

Love conquers all. To many people, love is one of the most important things in the world. Romeo and Juliet both think so, given the lengths to which they go to be with one another. If you agree, that's a strong reason to leave.

His family name is tainted. In the opening scenes of the play, the Prince has made it clear that he's sick and tired of the feud between the Montagues and Capulets. Yet this feud shows no sign of stopping. Abandoning his name might be a wise decision even without Juliet, making it all the more attractive if love is his reward.
Reasons Romeo should keep his name:

He owes it to his parents. Romeo's parents bore, raised, cared for, and educated him. And as a Christian, Romeo is commanded to honor his father and mother. His moral and religious duty requires him to stay true to his family.

He was raised to think the Capulets are the bad guys. Romeo tries to make peace with the Capulets after his secret wedding to Juliet, but up until that point, he is a Montague. You and I know that the narrative message behind the feud is that it's pointless and destructive and Romeo would be well rid of it. But Romeo may not know that. And is allowing evil to go unpunished an appropriate price to pay for love?

Is it really love? A recurring question about Romeo and Juliet is whether to interpret their relationship as a true love cursed by fate, or a flaring teen passion that clouded the lovers' judgement. It may eventually be correct for Romeo to abandon his name for love, but it's too early, given that the entire play takes place over the course of a week.
Take a look through the points, decide which are most compelling, and form your opinion on this basis. Good luck!