I only wear the kit when I go for road rides, it is cooler for when things get really hot and the pace is high.
For the commute I have shirts made of technical fabric that I will wear with my mtb or cargo shorts, most often have panniers, and usually ride the recumbent so I look like a total Fred... but I stay cool and the clothing is practical off the bike.
If the weather stays warm I won't be wearing pants again until October...