Do you play on normal or hard mode?
The most usable strategy is to block the southern ledge with two characters(4 and 5 - preferably Nolan and Zihark with an A support, but you can also go for 2 other leveled characters, like Sothe) and the partner unit. Let Tauroneo(6) stand in the back(the partner unit starts to move when he is damaged to a certain amount of HP) or just replace the partner unit with him by rescuing with another character(I always use Volug for this).
Next, try to block the upper ledges with other characters(3, 7 and 8 - they do not have to be trained, but beware of the hawks) so that the cats and tigers cannot reach you. Also put two units at the ledges in the west(1 and 2) since there will be reinforcements)
And then, you just have to wait, eventually heal Tauroneo and the other unit defending down there(4) and kill some random tigers and cats in your attack range from the ledges.
Micaiah can go some squares to heal the units in your range. But if you play on hard mode, you cannot reach units 4, 5 and 6. If you have leveled her, I guess you did because it is your first playthrough, you can try to attack with your ranged spell.
As for the Hawks, you can either hope for your partner units to kill them or you can kill them by yourself with units in the near, it depends on where the Hawks are.
What you can also do is to make Tauroneo a Marshall via Master Seal, give him the Pass skill and the boots and go down to kill Ike with Luna. Just battle save at the end of your turn and be patient.