I don't think that Neelix even considered to use the Kazon as some sort of revenge on the Haakonians.
The Kazon were undisciplined and split up in rivalling sects who did seem to care more about internal conflicts than to unite and attack any outside force. Not even Culluh managed to unite the sects against Voyager and that was only one ship.
I suppose that the Haakonians were rather powerful when it came to military strength and that the Kazon did know about that. Neelix probably realized all that and therefore had no intentions at all to try to persuade the Kazon-Ogla into any adventures with the Haakonians.
The Kazon were undisciplined and split up in rivalling sects who did seem to care more about internal conflicts than to unite and attack any outside force. Not even Culluh managed to unite the sects against Voyager and that was only one ship.
I suppose that the Haakonians were rather powerful when it came to military strength and that the Kazon did know about that. Neelix probably realized all that and therefore had no intentions at all to try to persuade the Kazon-Ogla into any adventures with the Haakonians.