The language question is certainly one that should be examined at some time, but to hang any substantial issue on language is IMHO just silly. Language is not like genes, it just the way in which they communicated. In the case of the Celts this was mostly verbal as their relegion or whatever frowned on leaving any written records.
In the case of the Celts, they didn't need to "acquire" their language from any conquerors. They were the conquerors, so their language probably came from somewhere else.
Where?