Melentye,
I’ve asked the dev team to look into this issue, Maven should be highly tied down especially once those preferences are turned off.
Is the fact that Maven is trying to connect to the internet the only reason why you need to remove it from your installation? Also if you aren’t using Maven anyway, the errors you see above are harmless (at least to MyEclipse) – I understand you may have other issues with the attempt to connect.
Could you enable the first preference – “Enable Maven4MyEclipse Features” from that preference page and then click OK. If you reopen the preference dialog, you should now see a Maven node under this preference page. There is an Offline checkbox which should keep it quiet – you can also turn off the “Download repository index updates on startup” option (though the offline mode should take care of this as well).
Please let us know how this goes, thanks.