He has this special suit on.
The plane is made of very delicate substance compared to what space ships handle.
I don't know what he will use, but I hope a small space ship.
meteors don't even burn up when they fall in
and planes (especially ones that go really fast) are very heat-resistant
SR-71s went so fast that they had to be designed in such a way that the plane could still fly after the metal expanded so much
so, they had such heat-resistant metal in the 60s, and now things only get better
his suit is probably no less likely to burn up than a 747 is
now, I'm not saying he's going to go up in a 747 though
clearly it is going to be some kind of very specialized plane
but they're not sending him up in a space shuttle