I think not.
All major browsers on all common operating systems have exploitable vulnerabilities often enough that switching browsers will not solve the problem.
So, even if Microsoft releases a patch for this latest IE vulnerability today, millions of PCs will remain unpatched for months. Valuable targets -- members of the next botnet.
By comparison, Chrome is much more aggressive about updating itself. For example, consider Chrome 6.0's short lifespan:
http://www.netmarketshare.com/browser-market-share.aspx?qpri...
Also, Chrome's sandboxing is designed to assume the browser will have exploitable vulnerabilities, so there are two hoops that the exploit must jump through instead of just one. In this latest IE vulnerability there is only the one hoop and then on most machines the exploit has acquired administrator privileges.