Don't take all the bellhousing bolts off. Leave 2 or 3 in, that are 1/4" loose. Wiggle and pry the trans loose. It will come apart.
To make everything much easier, make 2 alignment bolts. Figure out the metric bellhousing bolt size and then buy 2 bolts that size but 4" (100 mm) long. Cut the heads off. Then grind about 3/4" down to a taper (not the threaded end, the end where the head was). Thread these into the bellhousing.
As you get the trans loose, keep loosening the 2 remaining stock bolts. Eventually the last 2 stock bolts come out and the trans slides off on the 2 alignment bolts. This takes the load off the pilot bushing and the clutch disk. And it will make reassembly much easier.
If this isn't clear, I can take and post pics of my alignment bolts.