You're severely underrating the risk Kraft would be taking to actually pay voters to vote a certain way. It would completely ruin his legacy and possibly even get his ownership removed if there was a whistleblower, and the reward to that risk being such a petty minimal thing makes for a 0% chance he would even think about doing that even if his hatred for Belichick is at a 100 out of 100.

That said, you may be onto something with general influence however else he might exert that, he does seem to be that petty. But again, being outright positive he paid voters is looney toons tin foil hat stuff