going back to a stock pump would be going in the wrong direction, stock pumps have even less volume and the same pressure as what you have now. The only right way to do it is to get a correct carb fuel pump and a minimum of 3/8" fuel line up to the carb. I know there are people who say its fine and they know someone or have done it themselfs but the reality of it is that in the end you never hear about the bad stuff since noone want to admit they messed up, rather youll hear that the engine builder did something wrong to make a valve or ring burn up or head gasket blow. heres some basic info, if say you are looking for 400 hp n/a from your motor it will consume 200 lbs per hour of fuel or about 33.3 gal. per hour. Now to get that past all the resrictions and 16 ft. of line then through reg and carb youre gonna need a bit more pump, which is why we run 140 gph pumps for that hp. If you look at FI pumps a 255 lph pump only puts out 67.3 gph or about 404 lbs per hr. which is enough to feed the motor with no problems but the difference comes in the way the fuel is handled and introduced into the combustion process. injection must atomize fuel into each port and that requires high pressures, its also more precise. A carb atomizes fuel in the plenum and each cylinder must pull air and fuel from a common area and get it down to the cylinders which isnt always easy. Im not gonna get into the rest, the best thing to realize is theres a reason there are 2 different types of pumps, its not a one size fits all deal.
As for would it cause a vibration, well it could if it is fouling out the plugs or running lean and burning things up. its really hard to have the answer online, all we can do is point out what sounds wrong and what to check and hope you tell us everything and check things. it could be fuel problems, spark scatter, arcing. If you can give me as much info about the ign. and carb setup as possible I can tell you where to look more.