I have been looking in to you some code wasn't working. Everything looks fine except for the following line.
Transport = Transport?? MockITransportUtil.GetMock(true);
Before that line is executed Transport is null. I see the GetMock executed and that it returns a non null object. After that line Transport is still null;
I looked at the IL that was generated an it looks fine to me.
 IL_0002:  ldarg.0
  IL_0003:  ldfld      class [Moq]Moq.Mock`1<class [CommLibNet]CommLibNET.ITransport> Curex.Services.Common.UnitTests.Messaging.TestIGuaranteedSubscriptionBase::Transport
  IL_0008:  dup
  IL_0009:  brtrue.s   IL_0012
  IL_000b:  pop
  IL_000c:  ldc.i4.1
  IL_000d:  call       class [Moq]Moq.Mock`1<class [CommLibNet]CommLibNET.ITransport> Curex.Services.Common.UnitTests.Mocking.MockITransportUtil::GetMock(bool)
  IL_0012:  stfld      class [Moq]Moq.Mock`1<class [CommLibNet]CommLibNET.ITransport> Curex.Services.Common.UnitTests.Messaging.TestIGuaranteedSubscriptionBase::Transport
We see the function get called and stfld should take the return value and set the field.
So I then looked at the assembly I see the call get made but it looks like the return in RAX gets blown away by the next call and is lost.
            Transport = Transport?? MockITransportUtil.GetMock(true);
000007FE9236F776  mov         rax,qword ptr [rbp+0B0h]  
000007FE9236F77D  mov         rax,qword ptr [rax+20h]  
000007FE9236F781  mov         qword ptr [rbp+20h],rax  
000007FE9236F785  mov         rcx,qword ptr [rbp+20h]  
000007FE9236F789  mov         rax,qword ptr [rbp+0B0h]  
000007FE9236F790  mov         qword ptr [rbp+28h],rax  
000007FE9236F794  test        rcx,rcx  
000007FE9236F797  jne         000007FE9236F7AC  
000007FE9236F799  mov         cl,1  
000007FE9236F79B  call        000007FE92290608  
            //var x = ReferenceEquals(null, Transport) ? MockITransportUtil.GetMock(true) : Transport;
            ListerFactory = ListerFactory ?? MockIListenerUtil.GetMockSetupWithAction((a) => invokingAction = a);
000007FE9236F7A0  mov         qword ptr [rbp+30h],rax  
000007FE9236F7A4  mov         rax,qword ptr [rbp+30h]  
000007FE9236F7A8  mov         qword ptr [rbp+20h],rax  
000007FE9236F7AC  mov         rcx,qword ptr [rbp+28h]  
if I use an if statement or a ?: operator everyting works fine.
Visual Studio 2013
EDIT
I have create a psudo minimal reproduction.
class simple
{
    public A MyA = null;
    public B MyB = null;
    public void SetUp()
    {
        MyA = MyA ?? new A();
        MyB = new B();// Put breakpoint here
    }
}
If you set a breakpoint on the indicated line and look at the value of MyA in the debugger it will still be null(only if building in x64). if you execute the next line it will set the value. I have not been able to reproduce the assessment not happening at all. Its very clear in the disassembly the execution for the next line has begun before the assignment takes place.
Edit 2
Here is a link to the ms connect site