Be ready to lose some weekends and burn additional hours - but people will appreciate your being on top of things.
People shoot the messenger - when the messenger is too late in delivering the warning when the rest of the business can't do anything to fix it. Even if management is anticipating delays - it will still look good on you that you are able to foresee problems, and your foresight will be rewarded later on.
People don't like hearing bad news - but if the bad news is delivered early and documented in such a way that it makes them responsible for not acting on warnings, they tend to work on it positively.
If you do the above and still get shot as the carrier of bad news - the work culture is toxic you are better off working elsewhere.