lol, 163 only had 3 throttle settings, on, off and messed up so the plane explodes. Its not that they decreased throttle, Germany was running out of materials strong enough for such stress so the plane would rip apart when it reached its critical mach number.
Oh yeah, before Chuck Yeager broke the sound barrier, F86 test pilots broke it twice in a shallow dive. And, Chuck Yeager didnt break the sound barrier in level flight, he was in a climb.

And bosco, 640mph isnt near the sound barrier.

At 20 000ft it is about 740mph
It is at its least at around 40 000ft, wich it will be at 660mph.
A Yak will tear to shreds before reaching Mach 1.0.

A plane would need swept wings to slow compression and be aerodynamically stable at Mach 1.0.
Me 163 is probably best for job on AH II.
Not to say a unswept wing plane cant brake sound barrier, if you look at Bell X-1 its wing dont look to swept.