i also have a 97 Boxster and have been thru all of this before.
1. don't buy the metal ball socket. the new Porsche push-rods (one piece that is the metal arm with the plastic connector on the end) have reinforced plastic that will not break. the reason i recommend against the metal ones is because they do not 'flex' around the ball the way that plastic will. in other words, you will get a better fit with the new plastic ones.
2. if you take my advice and buy the new push-rods with the white plastic connectors, you need to remove your existing push rod from the V-lever using an allen wrench. if you look at the connection, you can see it has a hex screw that screws the push rod into the V-lever. you just need to swap the old one for the new one, and then connect the plastic connector to the ball on the conv top where the previous one broke.
3. your transmissions may be out-of-sync with each other, but probably not by much. it depends when you stopped pushing the conv top button when the red connector broke. if you stopped immediately, then the transmissions are probably still timed correctly. you can look at the positions of the V-levers on both sides. are they in the same relative positions on both sides? if they are, then the transmissions are sync'ed with each other and you won't need to re-time them. if the V-lever positions are NOT the same on both sides, then you need to re-time them.
here's how. (other people do it differently, but i found this way is fool-proof). ;)
- disconnect the clamshell (cover) push-rods (the black canister-looking arms that raise and lower the clamshell). it sounds like you've already done this. if you've disconnected them on both sides, then you should be able to raise/lower the clamshell manually.
- disconnect the red connector on the driver's side of the car, too. you will need to pry it off the ball. you can use a screwdriver or any other tool you can pry with. (be careful, you don't want to scratch the car).
- lift the clamshell so that you have access to the V-levers. i am assuming that your conv top is 'up' or closed.
- if you need more room to work, put the top in 'service position' (unclip the two cables that hold down the rear of the conv top and swing the back of the conv top 'up' towards the front of the car).
- take both cables out of the conv top motor by the 3rd brake light. plug in passenger side cable (DO NOT PLUG IN THE DRIVER'S SIDE CABLE YET - we want to move the passenger side xmission independently of the driver's side xmission).
- push the conv top button in the 'close top' direction until the motor stops and the conv top dash light goes out. by doing this, you are moving the transmission all the way to its farthest forward position.
- (just to make sure) now unplug the passenger's side cable from the motor, and plug in the driver's side cable. do the same thing. press the conv top button until the conv top dash light goes off. now both transmissions are in the position (full forward) that they should be if your top is closed.
- after that is done, connect the (previously red) connector sockets to the conv top balls.
- then lower the clamshell by hand and then from inside the car, reach into the back and pop the clamshell push rods (black canisters) back on to the V-lever balls.
your top should now work perfectly. when you are testing it after this is all done, push the conv top button in short bursts so that you can watch/listen for problems. once you are sure that the top raises/lowers correctly, you can push (hold) the button the way you normally would.