Then there's something on your system trying to connect to WebMoney. Although adding the security certificate as an exception would indeed make the message go away, I would be more concerned with whatever is making the connection.
Is your homepage Webmoney? If not, consider getting some anti-spyware tools or checking a Hijackthis log for referrences to Webmoney.
Edit: Following the log you have posted in comments, it looks like this entry could be responsible for the phantom webmoney connections:
O16 - DPF: {463ED66E-431B-11D2-ADB0-0080C83DA4EB} (AcceptWM Class) - https://w3s.webmoney.ru/WMAcceptor.dll
You do seem to have other issues though.
Based on this site, I would remove all referrences to "alibabar", as it appears to be trojan or trojan-like.
O8 - Extra context menu item: ¨Ï¥Î¨³¹pÂ÷½u¤U¸ü - C:\Program Files\Thunder Network\Thunder\Program\OfflineDownload.htm
O8 - Extra context menu item: °Å¶Kï¤å¦r: ² > Ác - res://C:\Program Files\ALiBaBar\ALiBaBar.dll/RT_HTML/ClipToTrad
O8 - Extra context menu item: °Å¶Kï¤å¦r: Ác > ² - res://C:\Program Files\ALiBaBar\ALiBaBar.dll/RT_HTML/ClipToSim
There's various references to Thunder Network/Thunder AtOnce. If you do not use this application, you should remove the entries.
My Taiwanese isn't that great, so I have no idea what this is;
O16 - DPF: {2B38E40E-977D-4767-919C-2AA29C041618} (BOT Class) - https://ebank.bot.com.tw/NNBank/NN/FCardS.CAB
If you don't use https://ebank.bot.com.tw, you should remove this entry.
These are app-helpers for PowerDVD, Adobe, Quicktime, and Java. You don't need them loading at start up.
O4 - HKLM\..\Run: [RemoteControl] "C:\Program Files\CyberLink\PowerDVD\PDVDServ.exe"
O4 - HKLM\..\Run: [Adobe Reader Speed Launcher] "C:\Program Files\Adobe\Reader 9.0\Reader\Reader_sl.exe"
O4 - HKLM\..\Run: [SunJavaUpdateSched] "C:\Program Files\Java\jre1.6.0_02\bin\jusched.exe"
O4 - HKLM\..\Run: [QuickTime Task] "C:\Program Files\QuickTime\qttask.exe" -atboottime
Can You, please, take a look at it – brilliant Apr 11 '10 at 11:17