It is possible to arc weld, mig, or tig weld bronze to steel. Depending on the thickness that will probably determine the process. I weld bronze seat liners in crusher mainframes routinely with the SMAW process. Here is a link with some useful info
http://www.metso.com/miningandconstruction/MaTobox7.nsf/DocsByID/35DE33E54397DD57C2257B2B0049D02C/$File/2013_tips_construction_mar_60_en.pdfOn small crushers the seat liners are fairly thin. Some pre heat and a 3/32" electrode work really well in my experience. You may want to give it a try? None of the bronze electrodes are very cheap and I usually end up getting 10 lb boxes as a minimum. The only thing I have on hand at this time is 1/8" electrodes. I have never seen them in less than a 10 lb box.
I'm sure there will be several others who chime in and give some of their experience.