The Constitution Party would probably be eager to gain the support of a (now) nationally-known figure. The question is that if Moore thinks he has a political future, would he want to basically forfeit any chance of being elected by defecting to a third party?
I don't know that the Constitution Party would have him. They had the chance to nominate Alan Keyes a few years ago and passed on it. Moore has far more baggage.
I would not be surprised to see Moore as a TV regular on some "off brand" religious network. Not TBN, but one of the knock-off networks.
Hasn't the Constitution Party gotten way more socially conservative in recent years? They used to pretty much just be a pro-life LP.
Not true actually. They've always been a hard core social conservative outfit. They're also very much against free trade and criminal justice reform. They declined to nominate Keyes because of Howard Phillips passionate opposition to his neoconservative foreign policy views.