busa's are fuel injected.
gixxer's are now too, though earlier 750s and 1300s (which is what a busa is really, gsxr1300) are carby. oe bike carbs are called vac slides and they can be made to work on car engines, its been done before. some are more suitable than others.
you really need to do your reasearch, and its not really that easy to get ahold of good imformation.
theres a place called boss side cars here in brisbane, who said hell supply, then i go away and fit, and they he'll get them half sorted for me (running driveable tune) for $600.
the carbs themselves can be had though for around $150 or less.
you need to run about 2-3psi fuel pressure max.
as for ignition you can adapt any dizzy you like with a little machining. you can keep the stock dizzy too, but you need a standalone ignition ecu, haltech used to make one but i dont think they do anymore. there is an aussie company called delta digital who produce one currently for about $300, they have a sight.. i think it delta-max.com.au
it seems like youre on the right track already but dont confuse this set up with FCR's. fcrs are not an original equipment carb like some people think, theyre aftermarket. what youre proposing to do is cheaper, but realistically even harder to set up then an FCR, as OE carbs are not intended to be tuneable.