I don't know that this really needs to be a poll - we have good evidence for the number of observable galaxies: the Hubble UDF. By extrapolation, if we repeated the HUDF and covered the entire sky, we'd see about 150 billion galaxies. It is believed that the Milky Way contains sonewhere in the neighborhood 200 to 400 billion stars.
So we're not there yet, but it wouldn't surprise me at all if we can peek just a little deeper and get a whole lot more.
As time progresses, we will be able to see more light from the furthest galaxies, numbering in the billions, and steadily increasing, compared to the number of stars in the Milky Way, which are decreasing.
While hubble did do an excellent job, I still think there are more galaxies in the observable universe than stars in our galaxy. There will be greater telescopes in the future, which will look even deeper into the cosmos.