Having now finished reading Wretched Refuse?: The Political Economy of Immigration and Institutions by Alex Nowrasteh and Benjamin Powell, I can confidently say that it might be one of the most devastating pieces of work debunking anti-immigrant arguments in a very long time. I highly recommend you buy a copy, I'll be using it a lot in in my own immigration research and writing in the future. Every imaginable problem someone might have against economic immigration has an excellent, quantitative response that is thoroughly researched and backed up, while being very generous to the arguments of the 'New Economic Case for Immigration Restrictions' and making sure they properly address all related issues.
The case studies at the end of the book offer an excellent look into the potential of opening up immigration by using Israel and Jordan as examples, and it's rare to see such a good overview of the political situations of both countries in relation to immigration. It left me with so many other potential research questions that now spring up from the evidence presented by the authors. I hope someone goes ahead and writes more on this.
I'd also love to see more qualitative work done on the subject of the benefits of economic immigration in the same way Nowrasteh and Powell tackled the economic/quantitative arguments. I hope this book encourages more work on this.