I think I have bimaxillary protrusion, would braces be enough to fix this? (Photos)

You have a very narrow jaws which causes the crowding.  The best approach physiologically would be expansion with a DNA applianc.  As the jaws widen it will allow the teeth to and smile to form a full wide "U"  shape instead of narrow your current "V" shaped and the anterior teeth will be in more cosmetically pleasing position with crowding eliminated.   It is possible to do a Rapid Palatal Expansion with a Surgical Assist (SARPE) to rapid achieve some of the growth that the DNA Appliance can provide .Avoid any doctors who suggest amputating (extracting) teeth to make room as it can have adverse physiological effects on your airway.

Looking at the pictures, I think orthodontic consultation would be in order for you as I don't think that you would need any kind of double jaw surgery.