ELV to 5amp circuit?
Honestly.  Your best approach is to consult with IKEA about powering the lights from one single common low-voltage transformer/supply. 

Nobody, not even Ikea, thinks a bunch of chunky transformers is the way to go. They did it that way because that is the lowest-cost way to sell the lamps in a single unit and still get the items listed by your regulatory agencies.   They may even have an Ikea-approved way to use a common transformer.  

Generally, low voltage power is much more lightly regulated, so the low-voltage cable run from wall-wart to lamp proper is thus less regulated.   That's still a good idea, but with one common transformer if possible.  If that transformer has a cord, feel free to put a 5A receptacle and &lt;=5A fuse.