Not it won't. If it is an outright copy (that's relatively easy to prove) you can have an injunction issued, besides that the bad press alone might get them to back off. I've brought a lawsuit like that and won << $100K.
A few hundred in total. What helped is that they actually did copy text verbatim, so it was very easy to prove. Their defense: they stole it but not from us... go figure. Needless to say that didn't land very well with the judge.