For the past two days I have been trying to do genealogy research on My Heritage through the Omaha Public Librry as I have in the past year or so
Yes, this is a known problem with our proxy server; our web team is working on it, but it may take a little while. In the meantime, if you are using the Chrome browser, you can go down to the bottom of the page and click on Advanced. That takes you to a page where you have the option to continue to the "unsafe" site (it is not actually unsafe in this case).
Another option is to access the database through NebraskaAccess, the Nebraska Library Commission website, if you have a Nebraska state driver's license or state ID. Go to http://nebraskaccess.ne.gov/people.asp, and click on MyHeritage. You will be asked to input your driver's license number or state ID number, then you will have full access. You shouldn't have any problem going in that way--but let me know if you do!
Apologies for the inconvenience!