In Nihon Goshin Aikijitsu
The training against kicks starts at an early phase (I know this because I have been learning it for the past year). Lower cross hand blocks from several different positions are done. There are also various methods to step off line, parry and break the opponents balance. Maintaining Ma ai will also be effective. Most instances of fighting will not occur with a kickboxer either.
My Sensei once showed me how for many of the kicks done in the striking arts like TKD, the attacker often goes into an unstable position immediately before the kick. This can also be taken advantage of.
For more on Nihon Goshin, see that thread or visit Sensei Walter Kopitov's website.