Konta, who made 31 winners and 30 unforced errors, dug deep to win five of the next six games for a 6-3 7-5 victory in just under an hour and three-quarters as she set up a showdown with Canadian wild-card Eugenie Bouchard, who enjoyed a 6-2 6-3 victory over Anastasia Pavlyuchenkova.
Strycova, the world No 19, next meets second seed Agnieszka Radwanska, who was a much more comfortable 6-3 6-2 victor over qualifier Duan Ying-Ying.
"I think you have to ask her, but I think so".
Victory over the world No.3 would be just reward for the 25-year-old, who has embarked on a rapid ascension into the women's elite for the past two years.
"But to match up against solid players like I have this week, it's a very tough tournament here".
Konta then went on a spree of winning seven consecutive games before Bouchard hit back as her level inevitably dropped a little from its high plane.
Nearly five years after turning her back on Australia, Johanna Konta is now just one tennis win away from marking her territory on her old stumping ground.
Bouchard had a breakout season in 2014, reaching the semifinals at the Australian Open and French Open before making the final at Wimbledon. "So I'm just very happy to make another final, especially here when it's always very strong tournament".
Second seed Isner, the victor in 2010 and 2014, fell 6-3, 5-7, 7-6 (3) in the quarter-finals to fellow American Steve Johnson.
The British player said in an on-court interview broadcast by BT Sport: "She's been one of the best players for as long as I can remember".
"But I knew I had to hang in there and do a lot of running to try and put my game onto him and come forward and in the end I did that".
At the Hobart International, qualifier Elise Mertens had an upset 6-2, 7-5 quarter-final win over top-seeded Kiki Bertens.
The win sends Konta into her third career final, having beaten Venus Williams in her first at the 2016 Stanford Classic before losing to Agnieszka Radwanska at the China Open in October.
The sixth seed from Luxembourg prevailed over Barton 6-1, 3-6, 6-4 as temperatures nudged 42 Celsius (108 Fahrenheit) to reach the quarterfinals.