If the V4 crossover is more linear (does that mean it creates a flatter frequency response curve?) and if it works with the drivers in your V2 speakers, then you should be good to go.
The
M80 looks like it's a 3-way speaker with 2 woofers, 2 mid-range drivers, and 2 tweeters. It's 4 ohm impedance suggests each pair of identical drivers is wired in parallel. That means that one pair of wires (a plus wire & a minus wire) coming from the crossover board will branch to pair of parallel drivers.
As lovinthehd said, open up your V2, find the crossover board and make a simple sketch of where all the wires go. You should see at least 4 pairs of wires – they should be color coded or clearly marked. Write it all down or get photos if you can. One pair of wires goes to the terminals on the cabinet back, a second pair goes to the 2 woofers, a third pair goes to the mid-ranges, and the fourth pair goes to the tweeters. Don't remove anything until you are certain how the old board is hooked up.
Look at the new V4 board to find connection points for all those wires.
I'll stop here as the next steps depend on what you find inside, and exactly how you have to make the wire connections. Things will be easier if Axiom provides Quick Disconnect (QD) points on the board, drivers, and wiring. QD connectors snap together and look like these, but come in many colors, or without plastic insulation:
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