Try turning the engine over with spraying "Easy Start" into the carbs.
You will need two people to do this or a lead from the battery to the starter relay instead of turning the key to activate the starter.
I have done the same thing in the past when the car is coming out of a prolonged winter lay-off. What I do is remove the flexible tube between the air box and air filter casing. a quick squirt into the air box and then replace the flexible. It hangs around long enough to get sucked into the carbs when you turn it over with an open throttle, then blipping it usually does the trick.
If it's only been standing a month then I wouldn't have expected the fuel pump to be empty though - can you see petrol in the glass bowl or evidence of wetness on a spark plug if you pull it immediately after trying to start ?
It's quite possible to have a spark under atmospheric conditions which isn't strong enough to ignite the fuel under compression and given that you've not changed timing or anything else, then that's where I would be looking. Can a cold start coil fail or have been damaged during the alternator episode ?
The alternator and ammeter failure catches my attention and makes me wonder if there was any other fall-out - burnt wiring or overheated connections for example ? A description of what happened might help, did it just stop charging or were there fireworks and drama ?
Brian