Genitals is what gives us our own unique identification. Either you're a man or a woman. If you have boobs and a vagina... you're a woman... if you have a penis then biologically speaking you're a man. It's biology 101. Surgeries and hormonal replacements can help you to disturbed this pattern, and lead you to the proper road.
While I can understand peoples fears of not wanting to have surgery doesn't make you the gender that you want to be. You still have to present yourself as the proper gender that you were born with.
While magic might be risky... so is surgery. You take chances that is risky to achieve the maximum goals.
Genitals might be an indication of a persons gender but they don't define it. There are women who are born without vaginas, they are still women but by your definition they would not be. There are people born with both male and female genitals - by your definition they would not be men or women.
While I've spoken to many trans people online, I've only met one trans person IRL. I met him before he started to identity as man and have seen him go through the process accepting who he was, being accepting by others, changing his name & gender on official documents etc. Last year he decided he would save for a double mastectomy.
This was not a decision he made lightly and it was not something that he thought she should automatically do just because he was trans. It was a decision made a few years after he came out as trans and as far as I know it is the only one he plans on getting.
You seem like you are well meaning, but you are wrong. My suggestion would be to research the topic more.