They won't be incoming at Mach 8 though - and if they were the tinniest accuracy error would mean missing the target by 100s of meters (unless nuclear payload).
The latest incarnations of US and UK ship air-defence systems can track and calculate a solution on incoming targets, with a proven ability to hit, well above Mach 2 and HMS Dragon with the latest software demonstrated the ability to defeat sea skimming missiles at up to Mach 3 and ability to track and calculate intercepts for long range ballistic missiles travelling up to Mach 16.
In a controlled test against a static target with no air-defences, that is the one which managed just under Mach 7 in a successful end to end test.