It's not clear to me from your question where "inclusion" would fit into this sentence. At the very least, your sentence would benefit from a conjunction, in addition to possible padding of your clauses. (I personally prefer not to use comma splices when communicating new insights. One more obstacle to understanding.)
To the best of my understanding, here would be an alternative structure:
Companies will hire candidates for competency, and later fire them for failure to fit into work culture.
That seems like a plain way to rephrase your intention. The two phases should be linked by a conjunction, "and." Including a timeline word like "then" further clarifies the cause and effect.
Another version might lean more heavily on industry-specific terms:
Companies will hire on the basis of competency and fire when cultural-fit fails.
Again, not sure where to put "inclusion." Perhaps an introductory phrase, or a switch to the more mechanical "integration"?
Since companies expect job candidates to demonstrate 'cultural-fit' in their new positions, they often hire employees on the basis of competency and fire them for failure to integrate into the workplace.