Luckily, there's a way around this. You can create a new remote session to the Exchange server, specify the configuration name and then import the session.
In this example, we'll connect to our Exchange server, litex01.litwareinc.com and output a list of mailboxes - all of this will be run from another server which doesn't have any Exchange tools or PowerShell cmdlets, snap-ins or modules.
$server = "litex01.litwareinc.com"
$Session = New-PSSession -ConfigurationName Microsoft.Exchange -ConnectionUri http://$server/PowerShell/ -Authentication Kerberos
Once the session is established, we can run any of the Exchange cmdlets. Here is the Get-Mailbox cmdlet run from that same remote session: