Im not too sure on this but if a proton and a electron combine, do they become a neutron like the opposite of beta decay? if so, the result would be two neutron streams which, if close enough will combine into one due to their gravitational pull on one another.
The electrons and protons will attact one another but as the electrons are much lighter, they will move most of the distance. Therefore, the protons will still have a relatively streight path of movement