It would be easy to assume Clan Wolf = Stark.
With this assumption, Ned Stark would pilot a Dire Wolf named "Ice". Slow, but big and powerful, just like the Stark's ancestral valyrian steel sword. He would be an experienced MechWarrior, but past his prime.
Robb would pilot a Timber Wolf named "Grey Wind". Unsurprisingly, i named my TBR-C just like that.
I think Jon Snow would pilot a Timber Wolf too.. Named "Ghost". And you know what? I named my TBR-S Ghost too! Btw, i think in the books he says he was a better swordsman than Robb, so he would also be a slightly better MechWarrior.
Arya would want to be a MechWarrior instead of a noble lady, and she would pilot a light 'Mech: my bet is a Kit Fox, so she can fight as a water dancer dancing around with JJs lol. And she will remember to always use the "pointy hand" of her guns.
Poor Bran could not pilot a 'Mech.
Rickon would be too young ofc.
On the other hand, the Inner Sphere Houses would be the noble Houses of Westeros, and the Clans could represent either the Dotraki tribes or the Others themselves; the Starks would be House Davion, and their words "Winter is coming" would refer to the imminent arrival of the Clans.
Steiner would be probably Lannister; first, Ned and Tywin are on the same side(but not married
), then it is Civil War and Stark-Lannister conflict.
I have no time to write everything.. But in short, Tywin Lannister would pilot a golden Atlas, Jaime a golden Black Knight; Tyrion could have a modified cockpit for his size; of course, he would pilot an Axeman
Ser Bronn could pilot a Centurion or a Blackjack.
Ser Loras Tyrell? Not sure on this one. Maybe an Enforcer or a similar medium.
Robert Baratheon would have piloted.. MMh.. A Victor. Or maybe an Awesome.
Rhaegar Targaryen would have piloted.. A Grand Dragon?
Or rather, a Highlander..?
Stannis would pilot a Firestarter.. Joking, he would probably pilot a heavy 'Mech like the Jager or maybe a faster one.
Renly would have pilot a pretty 'mech, not sure which one, probably a heavy or assault.
Bravoos would be more similar to House Marik.