Now that I've had my breakfast (Cornflakes and a jam donut) my brains are working better and I have a different suggestion. In no particular order;
1) I told you that spacers would cost more than the wheels. Did you listen...?
2) The stud should not shear, bend, distort or snap under normal use. What is the diameter of the spacer wheel stub, in the centre of the spacer? If your wheels are 124 wheels (unmodified) then they have a bore of 54.1mm. The stub should therefore be 54mm so that the wheel fits on it and *the stub*, rather than the plasticine studs, supports the weight of the car. If your stub is too small so that it's a loose fit inside the wheel bore, it could be that the weight was resting on one of the studs.
3) I presume the studs are spaced at 100mm PCD to match the wheels, so you don't have anything odd going on with the angle the studs project from the spacer? They should all be hosizintal (could be an optical illusion of the photo, but in the photo they seem to be sticking out at an angle).
4) You don't necessarily need Eibach spacers or too much further expense but when I'm in bed at night worrying, I'd wonder whether the spacer is also made of plasticine, like the bolts. The spacer will certainly not get as much torsion on it as the bolts, since it's bolted to a flat face (the axle hub) and can't bend so to make it fracture.
If you just replace the studs for now, I would still remove the spacers from the car's bearing hub every so often (every couple of months.. or until you worked out that there's not going to be a problem) to check for cracks or fractures around the stud holes and around the wheel bolt holes (that hold the spacer to the hub). Any of those come apart and you'll be on three wheels.
5) Are the wheel (i.e. stud) nuts cap nuts, or plastic covers? If they're cap nuts then you don't need *longer* studs, otherwise your nuts will not tighten the wheel properly - they'll just wind onto the end of the stud before the wheel is tight. You need better quality studs.. in 12.9 grade.
If you have a collar type stud extractor that grips the shaft of a stud, use that to remove the studs. They could be pure studs, that are screwed into the spacer clockwise from the front... but they look like they could also be bolts... screwed *through* the spacer. If you remove the spacer you'll be able to see which it is. Ahhhh
I'll be amused (not in a good way) if they are regular hex-head or allen-headed bolts screwed in from the other side of the spacer... but anyway, once you have the bolt or stud out, whichever it is.. you'll know what/made of proper metal you need to track down to replace them with.
Ralf S.