All 26 cars were under Castroneves' pole time from last year with the Brazilian's best practice lap returning a 1:08.5540s tour.
Tagliani said it has helped having a pre-season test at the Barber circuit.
“I am really proud of what the team has accomplished this weekend,” Tagliani said.
“These tyres are different (from 2012). We also had a chance to test here and the team came prepared. We had a little issue this morning but they fixed it in between and we are back where I think we belong.
“Also, I know that Honda did a fantastic job. Everybody was putting a lot of pressure on them in St. Pete but with a company like them, when they feel they need to step it up, they can always do it in a very short time.”
Power, originally from Toowoomba west of Brisbane, is a two-time winner at the Barber circuit.
New team-mate Allmendinger is certainly one to watch after returning to the single-seaters after recording five victories in Champ Car in the mid 2000's.
“For me, it's just a process. Just trying to learn how these weekends go and try to keep up with the race track as it changes,” Allmendinger said.