This is why bills are almost never voted down. One thing that politicians hate doing is switching positions because they can then get attacked on both sides of an issue and as a flip-flopper. In fact, bills rarely get voted down once they are proposed. Congressional leaders rarely force a vote unless they know the bill will pass. The most common way for a bill to die is to just never vote on it. This allows them to not support or oppose something controversial.
This is true. If someone is completely supporting the bill then it's unlikely you could trivially turn them against it unless they both care & haven't understood it. Turning someone who has doubts is far easier because they were waiting for help deciding anyway.