Kompany is new to the business but that doesn't mean he can't be up to the level of coaches like Pep Guardiola, Ancelotti or even Mourinho, he has made some mistakes but he's still on track to me. And for Kompany to last long as the manager of Bayern Munich I think winning the champions league will give him full ground at Bayern. For some coaches that started with with him like Lampard and Rooney (as ex footballers) I think Kompany is the best among them all, he just need to give the club something they have lost and that's the glory of Bundesliga, getting them that trophy is going to be a big win for him and I don't see the management sacking him.
I think it is not easy for Vincent Kompany to be able to give the UCL title this season even though their main competitors Real Madrid and Man City are having difficulties but there are Liverpool and Barcelona who are still performing well in the UCL and will be Bayern's competitors, I think it makes more sense for him to give the Bundesliga title to Bayern which was broken by Leverkusen last season, the situation in the Bundesliga is also not safe because Leverkusen is still trying to put pressure on Bayern at the top of the standings.