Wonder how many lists this thread will make.
First wireless can mean a few things in this world and I would like some more info on what you aim to accomplish with regards to a properly timed display or something approximating it or just a "so I can be behind this blast wall" approach. It will come up again but are you truly asking for wireless or just asking for remote ignition as the latter is considerably easier.
You also have to consider if in the case of a timed display do you mind having the timing equipment trashed (or with the potential) essentially just making a remote switch or do you want the bulk of the work done on the switch end and only the bare essentials at the business end.
I can not say I have ever purchased fireworks in Illinois and if memory serves US firework laws are somewhat odd and can vary by county/time of year- do pay attention to what you are doing here. Still I would opt for the electrically triggered fuses rather than trying to fiddle with flame based fuses.
Remote can just mean someone gets a $15 reel of doorbell wire (pretty much any wire than can stand enough current to light the fuse will work) and uses that to trigger remotely. Here you can use anything from shorting two wires to a full on computed timed event.
From here you have many options- the first is radio waves traditionally by way of 2 way radios (the toy ones they give to kids being more than suitable for these purposes) but these days replaced with mobile/cell phones. Any number of trigger mechanisms can be made using them but usually people will tap the high current circuits so as not to mess up the digital side of things (motors being the big one, speakers fairly soon after that). You need not use a phone signal either as a good chunk of phones have other things like IR and bluetooth.
Remote control cars which go for lunch money in cheap toy shops are also a good source of such things and owing to the way they work they come with several options (left, right, forward, backward, horn) if you want to go for a manual trigger on multiple devices.
Laser pointers and LDRs work fairly well assuming you are accurate enough- a simple light sensor is easy enough to make and tune so that the ambient and even more unexpected light does not set it off (better ones can only be triggered by a given wavelength range).
As a halfway house between the two examples
http://www.jameco.com/webapp/wcs/stores/se...roductId=177092
In the end though make sure you test your solution here prior to the events.
