Not at all. There are lots of legal realities now that have nothing to do with the current marriage-specific laws, and likewise marriage could exist as a legal reality without the current marriage-specific laws.
Which is basically the same thing as having a set of marriage laws without the ceremony and the cake. Pointless refactoring for the sake of it.
Not for most things. You just make a contract with someone, and the government can (if necessary, through the courts) enforce that contract. That works fine for hospital visitation and medical decision making (the government can step in if a hospital refuses to respect a contract) and wills. For things like tax exceptions, well, that's all the government's doing anyway. How about just give everyone the tax benefit if it's really so complicated to figure out.
No amount of sugar makes "oh, by the way, we don't recognise your marriage anymore" taste any better.