Removing connectors, either be patient with an iron, wick, and lots of flux, or pick up a desoldering gun. Hakko makes a nice one if you're willing to spend the money, and I've heard decent things about the generic Chinese ZD-915.
I don't see any physical reason why chopping two connectors apart wouldn't work, but electrically I'd be concerned with the two pieces being physically different in some way - either one or the other is taller or shorter than the other, or there's a slight angle one way on one connector and an angle the other way which could lead to a bad electrical connection.
You would probably want to remove the connector completely anyway. I have seen a couple Lisa backplanes have broken traces that were invisible as the break happened directly under the connector body.