I did a very terse review of ICE a few years ago, and although I haven't compared them directly before, having reasonable knowledge of WCF my thoughts might have some relevance.
Firstly, it's not entierely fair to compare WCF with ICE as WCF as ICE is a specific remote communication mechanism and WCF is a higher level remote communications framework.
While WCF is often thought of as implementing SOAP web services, and that is indeed its main use to date, it can also be used for implementing remote services using all manner of encodings and transport channels, which means it can theoretically be used for performant comms between applications.
In comparison, ICE is a cross-platform remote communicaton mechanism that uses binary encoding for performant communications between applications. It's something of a simplified evolution of CORBA and is more directly comparable to CORBA, DCOM, .NET Remoting, and JNI.
However, even though there's no direct correspondence between ICE and WCF, if you need your .NET app to communicate remotely then they're both contenders. Some of the decision points you might want to consider include:
Resourcing. It'll be easier to find developers with WCF experience than ICE experience.
Performance. If you want performance then ICE performs fast, but WCF can also be used in a performant configuration. Alternatively, .NET Remoting can provide very good performance, and whatever the MS-sponsored benchmarks say I've seen it outperform WCF by 10%.
Cross-platform. If you need to communicate with non-Windows applications then you're limited with the WCF options you can use. In addition, since every SOAP stack seems to implement the standards differently it can be a pain creating truly generic Web Services (though WS-I helps)
If you don't need every ounce of performance from day one, then I'd personally plump for WCF to start with, and then consider ICE if performance ever becomes critical. Even then it might be cheaper to scale out your service boxes than it is to move to ICE, and if you don't have any exotic cross-platform needs then you could always look at reconfiguring WCF for binary encoding etc