I'm sure that would go over well... I say get him to the 3rd pair.
Or, trade for defenceman that you know the coach is comfortable with playing on the right side.
You say that, but it hasn't happened very often, if at all. Babcock wants an upgrade, and trading Hainsey would probably provide that. He's a left handed shot, expiring 38 year old and struggling. And what is so bad about trading him, turning around using his cap space to get a more efficient right handed defenseman? Isn't that exactly what we need?
That was the whole point of getting Muzzin who is a clear defined top 2/3 defenseman very capable of playing tough minutes and well over 20 game in and out. He's not a right handed defenseman but Rielly showed he's more than capable of playing the right and him with Muzzin was a fine pairing. For some odd reason, Babcock thought that Hainsey should be back with Rielly for no logical reason.
We're not going to upgrade this defensive core if someone doesn't move out, that's the bottom line. Muzzin replaces his PK ability and his defensive ability by a large margin. If Babcock can't sit out or play Hainsey in a bottom minute role, there's only one way to go about it.