Kane arrived at the right time to help Bayern Munchen maintain their dominance in the Bundesliga, as Laverkusen pressed them in a very different way than Dortmund had done in the last decade. Kane goal productivity has helped Bayern Munchen create consistency and compete at the top of the current standings, so it could be said that his signing from Tottenham was the best transfer last summer.
Kane has often won individual awards since he was at Tottenham, his personal target currently is to win the championship trophy with Bayern Munchen. I also think the same as you, Kane has the opportunity to gain success with Bayern Munchen, their bargaining value in every competition is very good and so many people are favorites with Tuchel current squad.
Since the departure of Robert Lewandowski, Kane was the main man Bayern sign to be his perfect replacement because he is performing above expectation even though we usually knows him as a goal machine back then when playing for Tottenham, but his effort only wins him individual records and praises and not to the team due to the quality of the players in his mix; but this time has actually started proven to be entirely different because he has now becoming one of the best players in the team right now, and there is no doubt that he is the best signing in the whole Bundesliga this season.
Exactly Harry Kane is performing well as he used to do in Tottenham, but he doesn't have luck in Tottenham to win the Premier League trophy, but I am very sure he will win the Bundesliga tittle with Bayern Munich, because is a strong club and they used to perform great, but this season I see Bayern Leverkusen competing with them and he can be difficult for Bayern Munich to win the trophy this season, but I believe Munich they can win the title because they have many experience players more then bayern Leverkusen and when they meet each other i think Bayern Munich will defeat them, But it won't be easy because of how Leverkusen is performing in the league and the Europa League, and Harry Kane will want to win his first Bundesliga title this season because he deserves it and is the league's leading goal scorer. I believe he will win the Golden Boot and probably the league title.