Your starting XI looks good but I don't like the idea of having only 4 main bowlers, just look what happened in New Zealand. Zaheer and Ishant each bowled some 40 overs in a single innings in that second test and they were not looking good physically. If India want's a chance at winning overseas, you need to play with 5 regular bowlers so I would take 4 fast and 1 spinner (Ashwin) even though knowing Dhoni this is unlikely to happen. Maybe Ravi Shastri might make a difference this time in the final XI selection.
India need an extra batsman in Australia. I would personally play Raina and have him/Kohli handle the 5th bowler duties. We need an extra batsman against the quality of Australia's bowlers.
My XI for Brisbane would be this:
M Vijay
KL Rahul
C Pujara
A Rahane
V Kohli*
S Raina
W Saha
K Sharma
I Sharma
M Shami
U Yadav
This is my ideal XI, although I am pretty sure this is not going to be the final XI. Play Rahul soon enough as we cannot provide time for Dhawan to get going. Also play Rahane at the crucial No.4 spot because he was our best batsman in England, and Kohli can feel more comfortable at the No.5 spot (where he also did well last time in Australia). Raina for the left hand variety and also the fact that he can bowl useful overs of off spin and a brilliant fielder (safe slip catcher). And I want raw pace and height from my fast bowlers. Brisbane could be a fast bowler's wicket and I definitely want more pace in the attack, and thereby my ideal XI has no place for Kumar for Brisbane