One YF-12 survived and is at Wright-Patterson.
It could be armed, at a full million dollars refurb.
Service ceiling is not the altitude above which an aircraft cannot fly, it is the altitude at which as aircraft can fly and the pilot does not have to worry about normal problems, including god wannabe officers.
All aircraft published limits are not absolutes, except maybe the Russian ones which are partly hearsay, partly real.
Chinese claims are wannabe, from what I have read.
The F-106 was unofficially flown, steady state at Seventy Thousand feet and hit Mach 2.7 in same unofficial tests.
The British LIghtning was the British interceptor with the highest NATO service ceiling, and highest climb rate.
One of those could have shot it full of holes as it had 30mm cannon, not 20mm.