It's not really a matter of rain getting through or around the gear. The problem occurs when I get to my bike locker at the train station; I put the bike in the locker, and now I'm standing in the parking lot by the train station, wearing all my rain gear. Now what should I do?
1. I could take the rain gear off at the locker, in the rain, and put the wet rain gear in the locker with the bike, and hope it somehow dries off by the time I get back, some nine or ten hours later; grab my umbrella and get on the train.
2. I could get on the train in all my rain gear, and take it off on the train, and hang it from the luggage rack on the train and let it dry there.
3. I could take an umbrella from the locker, go inside the train station, take off my rain gear there, dry it there, fold it up and put it in a bag of some kind, then walk back to the bike locker under the umbrella, put the rain gear in the locker, and then get on the train.
4. I could just say to heck with it, it's not raining that hard, I'll just ride in the rain and get on the train a little wet.
5. I could just stay home.
It sounds like you're wearing regular clothes for the ride, with a lot of rain gear to keep them dry? I'd be tempted to change into work clothes at the station and leave everything else there. You don't need quite as robust rain gear that way. But if not have you considered rolling the rain gear up in a bath towel? Everything gets to about the same level of damp, but not really wet.