Will I experience any issues with this set up? One of the core reasons why I would like this set up is that I know that some games do not support widescreen formats (although I know there is a website that can help correct that in many cases). Would I be better off going dual widescreen, dual standard, or is the mix okay? Any insight on this topic would be great!
Both the monitors you listed are widescreen. People pretty much consider widescreen to be the standard these days. I wouldn't worry about it too much just get something that supports 1920x1080 (otherwise known as 1080p) and everything will support you.
When and if you choose to play older games you may wish to use a scaling mode that keeps the correct aspect ratio (it will add black bars).
You're better off with one good monitor then trying to switch between two cheaper ones.