Sorry to bump a thread, but I feel your guy's pain with Heise. It took me forever to even be able to get it, and almost 2 months to get even sub 60 with it (although, it is much more fun than any other method). In a sense, the first step (well, finishing the four blocks) is the easiest, but it's probably also the hardest to get even close to efficient with it, I think it's because it gives a solver much more choice than they actually know how to use, so almost always completely miss the point (myself included)
Like others have said in here, you should try not to use algs. When I was first learning, it was hard to get that youre NOT just doing f2l minus a pair. There's also the bit about where you can and can't have any given block, since you don't have to have them TOTALLY in the right place. If it helps, I could say what I started using in my head, if not, oh well, but I think that anything is better than ONLY the heise site (it's kind of purposefully vague)
That first block is almost always easy if you aren't trying to look ahead. As you probably know on the site, it only needs to match up with one center, the center with the most colors in that set of cubes (the center where the '2x2' square is). I'm not a real big guy on doing this in as little moves as possible (it's usually trivial enough to just work it into the next block(s)). Without looking ahead, I'd say shoot for about 5. This block can be in any of its four 'spots', as long as that '2x2' square matches its center, so you probably should wait to move it (even though your entire gut is telling you to finish the 2x2x2).
Like Heise says on his site, for the second block, you should almost always go for the one that finishes the 2x2x2. I've never really wanted to look into it much further than that, more try to keep in mind that the 2x2x2 is block one and two, so they never HAVE to fully match up, and block 2 can be swapped into block 1, as long as an edge from 1 takes 2's place (not physically, just mentally).
(nigtv realizes this is getting long, sorry.)
From there, you should be able to tell which color you are going to want to leave off of the other two blocks, and if you know that, you can probably start to guess which one you want to leave off before you even start solving block 1, which can help with the turn count. It's hard to not make them fully match up, and it's hard not to use algs, but it's worth it in the end (sometimes making the ENTIRE rest of the solve <10-15 turns average). Alg's can really hurt your turn count, i think, because you're giving yourself that # of moves WITHOUT ANY tracking of the rest of the cube (well, as long as you dont know how the algs effect the entire cube), it's not as big of a deal later on (I use sune quite often actually, on really bad luck solves). The later on count can be helped a lot by using the fact that you dont have to fully match up all of those blocks at the start, and use them to orient some edges and move stuff around without wasting any moves.
Sorry that was long...
...oh, one more thing, I like that someone said "may not be the method for you". Heise is a pretty novel method. It's probably one of the hardest methods to really "master", and to be honest, I don't think that many people would find it all that rewarding. It's also a pretty 'macro' method, and isn't that much more efficient without extensive look ahead. I love it, but yrmv.