Anyone who was running for an office and genuinely changed their views... It does happen yes, however...
They should be very keen to explain the evidence etc that changed their view and encourage others to reconsider.
I was a blind idiot but now I'm not and you should not be too.
They can also explain that they have their personal choice, so voters know what they are getting if they decide they are still in the old camp.
When they 'duck and cover' I do think that they intend to get in by stealth then once secure they can use their position.
Some are kinda doing this with how much their Evangelical links may sway their actions once they are in place.
Be honest and up front.