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For blunt-body spacecraft, ionization starts at around Mach 10. The aerodynamics of a missile will be different of course. Regardless, there is headroom above the Mach 5 hypersonic threshold before blackout occurs.

All actually deployed systems are nuclear capable, for them aiming is not a huge concern because the boom is very big.

What the US is playing at with their strictly conventional warheads is anyone's guess, the overall impression is a of a "we want that toy too!" program.

Seeker window design is a whole branch of missile engineering.

Most missles use a quartz window that is sprayed with an evaporative coolant. In more advanced designs the coolant flows through microchannels and then out micro holes on the leading edge, where the coolant evaporates and provides a film cooling.

https://www.spiedigitallibrary.org/conference-proceedings-of...

Ionization applies starting at a given frequency depending on heat. You have to reduce the heat around the radar or move the radar somewhere where the air is less hot. You also have to use a radar of a higher frequency.