Thoughts on driving home in uniform?

I don't think it's an "unprofessional" issue as much as it is a OPSEC or security issue. Being out in public in uniform makes you a more likely potential target. I would wear my uniform if I were going directly from the base to home. If I had other errands (other than a quick stop for fuel), I always changed into civilian attire prior to departing the base.

As CPT (Join to see) stated, just because someone SAYS a thing is unprofessional, doesn't make it so. Know your applicable AR's and local policies.

I will say that a LOT of things have been labeled "unprofessional" in the last 10-15 years. It seems like half the Army mid level leaders are clutching their pearls.
I won't say do not listen to your leadership, however as you grow in experience and rank take into consideration that just because someone says something is unprofessional, it doesn't mean it actually is. Instead, consider what actually brings discredit to the uniform.

Only time that I changed before going off base was when I was in Europe, OPSEC reasons necessitated it. But CONUS, long as I'm not out hanging around or something I never found an issue with it