The thread above is a three year old thread which might be a bit misleading considering SONAR X2 wasn't available at that time.
You can run SONAR X2 on a laptop with 1366x768 for a resolution. This is what one of my laptops has. The inspector in SONAR X2 (which was an issue identified in thread above) can be scrolled vertically and modules expanded and collapsed... something that became possible in SONAR X1 Producer Expanded and now in SONAR X2 Producer, so that particular frustration can be worked around easily.
With that being said, I will admit the experience is MUCH better on a 1080p display. Much more screen real-estate to work with. So you can definitely work in your resolution, but I'd still recommend trying to beat it if it possible. Overall the entire UI is easier to work with with a higher resolution display. I'm actually considering buying a Windows 8 tablet myself, but I know I absolutely refuse to get anything with less than a 1080p display after becoming accustomed to it.
Anyhow, if you want to see for yourself without making a financial commitment, check out the trial here:
http://www.cakewalk.com/products/sonar/web-trial.aspx . It's free and good for 30 days.