To sing high, you don't need to sing in falsetto. Falsetto is breathy, lacks vocal chord closure (which produces more resonance) and can actually sound more male. I tend to sing either in mixed voice, mixing the softer head voice (which some people call 'falsetto', which I guess is where confusion comes from) from higher notes with the strength of chest voice. I find that mixed voice tends to be the most difficult to master. I can hit notes in mixed voice easily now, and hold notes for ages, but it can be difficult optimising the sound and doing things with it like adding vibratto (which I find much easier in pure head or chest voice).
The way I see it, most of us won't be able to sing as high as genetic women or sound exactly the same as a 100% passable female singing voice (whatever that is, anyway) - but who cares? I think creating a unique, perhaps more androgynous sound is far more interesting, and even many great non trans singers have masculine voices - Nina Simone, Zarah Leander, Misora Hibari to name a few. That's generally the approach I use when singing - if people aren't quite sure if it's a male or female voice they're hearing, I'm happy!

That is why I have not undergone voice surgery.
Here are two of my songs: