AoS Does the "It burns!" from the Salamander stack?

Yes, to include razors / sallies in the thunderquake, you need also handlers (and at that point, is probably better to have sallies)
Alternatively, you can pick kroxigors (in the TQ formation they are real beasts) and use razordons as units not included in the formation, without the handlers, but with the Great Drake.

Anyway, I agree with @BinaryCat. 4 razordons with handlers in the formation, that re-rolls 1s "to hit" and all "to wound", are impressive. you need 280 pts but should work nicely.