Really, don't bother with the fusible link or anything else for that matter until you've got a decent charge on the battery. Having dealt with dead batteries in E34's I'd bet you good money that your only problem is a seriously dead battery.
Last time my old battery crapped out so bad it couldn't be jumped I had it on the charger @10A for 3 or 4 hours and that was more than enough to get the car running fine again. Trickle charge is usually in the 2A range. If using that setting I'd give it at least a day.
Cosmos Black/Black 1995 540iA M-Sport
BMW Individual Exclusive Edition, 1 of 65 total, 9/25/95 Build