Dhoni has always done decently in Australia hasnt he? He wasn't a great batsman outside the subcontinent in test cricket but people often say the same for his ODI batting which has always struck me as a bit odd, he's done well overseas in the format.
Decently, yes, greatly, no.
He's improved his stats a lot in this tour actually with three half centuries and an average of 196 for the series.
Even with this series he's averaging 46 at a strike rate of 72 in Australia against Australia. Before this series he was averaging 35 at 71 in Australia against Australia (I make that clarification to filter out the 2015 world cup and other neutral games, which don't actually help Dhoni's stats much - his superb series against Sri Lanka is mostly cancelled out by an awful world cup campaign).
So in a roundabout way, this last series where he was heavily criticised for being too crap, he's statistically plugged a hole in his record.
Ankitj, man of the series awards are much harder to achieve when your team mates are McGrath, Warne, Ponting, Symonds, Hussey and Hayden than when they are a past-it Tendulkar and a not-quite-there-yet Kohli.
Gilchrist hit two half centuries and a century in three world cup grand finals.
But then I don't think Dhoni is directly competing with Gilchrist. I think what matters more is who pairs them in the other spot/ role. Gilchrist+Bevan vs Dhoni+Jayasuriya/Waugh/Watson.
It's not as straight forward as Dhoni > Gilchrist or vice versa because you need to take into account conditions and the other players available.