And the fact that it synergizes so freaking well with Order bothers me on some fundamental level despite the fact that Order is my favorite ideology.
I know that feeling. Anyways, I've played America quite a bit myself, and from my most recent experience, I ended up stomping out my peers in a war I never wanted to start, but inevitably finished. I was going for a cultural victory, my only real threat was China, who was just as big of a cultural powerhouse as myself, and I thought to myself, "Once I get the Smithsonian, I'll surely be able to Influence her by the end of the game." The short story is that I won a diplomacy victory a few turns before she would've pulled off a Scientific Victory, and even so, I just barely made it.
In this playthrough however, I remember my tourism taking a pretty big leap from 80-something to 110, after the Smithsonian came into play. I already had my museums set up and I was ridiculously wide, so it was a pretty great buff in my book, but I can't really tell how great that is compared to a normal Hermitage. If the Smithsonian should have a buff, as you and Funak suggested, perhaps something involving gaining scientific specialist, or a buff to the specialist in the city where it's built would do the trick, or since the Smitsonian contains quite a few buildings dedicated to Native American and African history along with quite a few other regions in the world, a bonus based on OTHER civilizations. Particularly, a small bonus from allied City-States. Then, at least one could justify going Freedom for your maximum melting pot of nations, America fix.
Finally, I like the UA. If feels good having that vision, and tactically buying tiles for my Great Generals to build Citadels in is INCREDIBLY satisfying. (Though I'll admit it makes me less than pleased when I'm on the receiving end. If you're buying my tiles, how come I'm not getting some money out of it?
) I also love the Minuetmen, though I'm just a fan of highly mobile uniques in general.