Kyle, you can have this changed if you like. Register a domain and hand over the credentials to elead and they'll get you set up so you don't need to use their @eleadtrack.net. I do believe they charge a monthly fee for this. But you might find it's worth.
I'd register a new domain like @abddealercare.com or @contactabcdealer.com and use that as your elead email, keeping it separate from your main dealers domain. With this set up - you can then have one email associated for all sales people (default setting) or allow each person to have their own email address. If you use their campaign manager, I would set up the "main dealer email account" in elead as customercare@abcdealer.com = it tends to yield a slight increase in open rate 
As for the Call Center, I had the privileged of visiting it in person. What an impressive set up. Truly. The call center is a machine. My Nissan dealer continues to use their call center (2 years now) for after visit survey follow-up and day after internet lead follow-up. It gives us some insight on where we might had messed up when structuring the deal with the customer. The insights allow us to save a few deals each month. There's something about a 3rd party service - many consumers often speak up when they otherwise did not when they were at the dealership in negotiations.
Lots of companies hire 3rd parties for surveys. It's no different but this allows us to take action when we get the survey back in a timely matter.
We've also used the call center for call campaigns and calls after direct email drops with good success. No doubt I would like to see a better appointment to show rate but elead also encourages the dealer/manager to confirm the appointments, and why wouldn't you?. This can typically yield you an additional 15-20% appointment to show rate while also allowing you to police their efforts.
Do some of the call reps "lead" the customer into an appointment, while having the customer say yes just to get off the phone? I'm happens - but it happens to our aggressive sales people as well.
I would encourage any dealership that uses elead CRM to give their call center a shot. It would be hard to hire someone in-house to make a fraction of calls in a consistent manor that their call center call pull off. If you do the after campaign call (going after appointments) give the campaign 100% and do your side of the job as well - making the appointment confirmation call from a manager. Track each Hot Lead elead sends over from beginning to end. Track your Lead to Appointment - Appointment to Show - Show to Sold and figure out your ROI and make the call for yourself.