The serious interest goes both ways. Jason Kidd badly wants the Nets’ head-coaching job, and multiple sources insist the attraction is mutual and the team’s search for a replacement to P.J. Carlesimo is strongly pointing toward the future Hall of Famer. Kidd is viewed as the leading candidate for the job and met with GM Billy King yesterday to pitch his position. It was a “good meeting,” according to someone close to the situation. “Jason really believes he is ready for the next step, to be a head coach,” another person familiar with Kidd’s thinking said. “He wants it.” And all indications are the Nets want him. The Nets are expected to finalize a decision this week. If it is Kidd, team brass want to provide him an experienced staff, and former Nets head coach Lawrence Frank, axed by the Pistons, is the obvious choice for lead assistant. Kidd would be a gamble. Though he has an off-the-charts basketball IQ, he has no coaching experience. That, plus some of Kidd’s off-the-court problems — such as a DWI rap last July, less than a week after signing with the Knicks — are possible red flags. The Nets still are expected to meet Wednesday with Pacers assistant Brian Shaw, another strong candidate, to discuss the opportunity. Either Kidd or Shaw would represent the “fresh face” the Nets seek. The marketing guys would be like kids on a sugar rush with Kidd. (Lionel Hollins, who won’t be retained as Grizzlies coach, does not have the same appeal.) Those who support Kidd point to Mark Jackson, who did a magnificent job at Golden State without any prior coaching experience. In his second year as head coach, Jackson directed the Warriors to their second playoff appearance in 19 seasons and advanced to the second round. The Nets, after making more than $300 million in salary commitments, were bounced in the first round.