I'm not here enough (and not travelling around enough) to be interested in the Klimaticket, but here's how public transport vs car stacks up:
Innsbruck to Vienna is 476km (~300mi) by road.
It takes about 5 hours to drive, assuming no delays. The way the world is right now, there will certainly be delays.
On the fastest route you exit Austria just after Kufstein and enter Germany at Kiefersfelden, drive through Germany on the A93, then on the A8 towards Salzburg, then cross back into Austria.
Pre-2015 you'd typically have crossed both those international borders at standard motorway speed(!), but since the refugee crisis, and even more since Covid, it's checkpoints (=delays) galore.
By train the journey is scheduled at ~4h15m. The train also enters Germany but doesn't stop there, so no border checks.
A standard ("2nd class"/economy) walk-up train fare is €74 ($85), but if you buy an annual railcard for €66 ($76) that's halved, so €37 ($43). This is a completely flexible ticket valid on any service that day, so if you are late (or early) you just get on the next train, and there's basically one every hour pretty much throughout the day. The railcard pays for itself in the first return trip.
Maybe it's just me, but €37 for a 300mi journey, with a completely flexible ticket, just seems like amazing value.