It will probably be a long battle. Ebay and other sites uses google to advertise. OB will have to become the #1 known market place so people dont even bother with google ads.
I think it'll become a healthy niche. It would need a gargantuan push and some fancy new layers on top to reach a point where it started to eat in to Ebay.
That said, I'm sure there are plenty of buyers and sellers who are growing increasingly sick of being ravaged by fees, shitty products and charge backs. They have an actual incentive to find better alternatives. Most of them would need plenty of hand holding though.
Every Ebay alternative so far has been pitifully empty but they were just clones that didn't really bring anything new. This does. Whether the masses choose to recognise that is a different matter.
If bitcoin can be super easy to get by any idiot - so like if bitcoin was in a paypal wallet for fiat to bitcoin conversion for example. Then ebay sellers can put a link to their open bazaar store with every sale in the post.
OB could become like the internet for trading.... currently if you want information you go to the internet. If you want products bought or sold you just go to OB.