Yes, networking should work out of the box. Have you tried to reinstall crossover? (Your bottles would not be deleted.)
As many times I needed Internet Explorer, it connected to the internet, no problem. I hope you will be able to sort it this way.
You should find that after making the changes advised, above, IE8 is (more) functional (but still not great).
As for Visio 2010 - the Help system in MS Office apps has historically failed in Crossover. This isn't an internet connection problem, it's that the help system calls on a number of browser and other windows OS elements that aren't implemented in Crossover.
Please Note: This Forum is for non-application specific questions relating to installation/configuration of CrossOver. All application-specific posts to this Forum will be moved to their appropriate Compatibility Center Forum.
CrossOver Forums: the place to discuss running Windows applications on Mac and Linux
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