I think it's astonishingly cowardly, sheeplike, and maybe even un-American to curate your "likes" this way, just to disassociate yourself with a loser. If your convictions mean anything -- that is to say, if you have any -- then why would you change the public picture of them like this?
A Facebook “like” doesn’t just mean you like something; it means at least one of at least these options:
1. You like it.
2. You understand that “likes” are used by advertisers, distributors, etc., to track brand popularity, so you clicked like to support something that you might not personally like. (I’ve done this with, for example, friends’ projects that are of no actual interest to me.)
3. You want to see its updates. (I have a leftist friend who likes to keep an eye on the right wing and “liked” Romney on Facebook for exactly this reason, even though it’s essentially a “dislike”.)
There are probably a couple others. Peer pressure, for example? Besides which, I think it’s fair to withdraw a like from something if you believe it’s outlived its usefulness. If I’d “liked” a ballot measure that failed to pass, for example, I don’t think it would be in any way dishonorable to stop following it now, even if I still completely supported its aims.