Hello Ari,
if the download does not work for you and you do NOT have the Offline settings checked (in the Preferences), you might be using proxy for your internet connection. By default the system proxy is used, you can try change the preferences to go to the web directly (in case the proxy is used for intranet).
Anyway if it does not work for you please let me know:
1) from your browser are you able to connect to http://mcuxpresso.nxp.com ?
2) are you using proxy ?
3) what operating system do you use (EDIT: I can see you are using Windows 7 64 bits
4) there is LOG file located here <home directory>/.nxp/swtools.log. You can attach it to see if any problem is recorder there regarding the connection
If we fail to resolve the issue, I can send you a ZIP with the data for MKV58F1M0xxx24(MKV58F1M0VLL24)
Regards,
Libor