Q: safari

From your Safari menu bar click Safari > Preferences then select the Extensions tab.

Turn that OFF, quit and relaunch Safari to test.

Do you see Develop in the Safari menu bar between Bookmarks and Window?   At  the top of your screen ?

If so, click Develop > Disable Images to uncheck then try the disneyland.com site.

If you don't see the Develop menu, try troubleshooting third party plug-ins.

Back to Safari > Preferences. This time select the Security tab. Deselect:  Allow all other plug-ins. Quit and relaunch Safari to test.

If that made a difference, instructions for troubleshooting plugins here.

Which version of Safari is installed?

Go to your Safari menu bar, click Safari > About Safari

Which version ?

Ah...  That's an oudated version of Safari. It won't load on my older Mac running Leopard, same 5.0.6.

Sorry.... it's time for a new Mac.

That means your Mac has Leopard v10.5 OS X installed which is outdated as well.

Sorry 

Unfortunately, 5.1 won't run on your Mac.