I haven't done something like this, but in my youth fiddled with plain audio amplifiers that you could put into such a slot.
So, watch for fluctuations and overvoltage from your alternator, in older 4-stroke engine cars, the spark plugs might lead to interference. Make sure the fuse is rated for the maximum current.
However, this thing looks like it's made for this use case, so hm, sounds like you need to consider nothing special. Even the thermal aspects seem to be sound: the device is actively cooled (it has a fan), and there's going to be enough paths of air to flow to and from the device. Of course, adding more airspace around (or even forced flow) can only make things better, but the question is whether it's necessary.
You'll be pulling an antenna cable through your cockpit (if that hasn't happened yet). That's annoying enough, so make sure you're not making it too short – much better to be able to connect the device to the antenna cable with the device sitting on the seat next to you than to have to do it one-handed while holding the device close to the slot. Also, the additional loss of a meter of additional cable doesn't really matter compared to the imperfections of PL-259/SO-239 connectors, especially for 70cm.
The ID-4100 has an external speaker connector for an 8Ω speaker. I don't know what speakers are in your car – but especially in older cars that didn't put too much value into the sound system, you can quite possibly directly hook up the driver-side (left, I guess) speaker to the 3.5mm "headphone jack"'s tip and sleeve. If there's more than one speaker, or you know your car speakers have lower impedance, you'll have to add a small amplifier. For which there'd be space in your second DIN ISO 7736 slot :)
I've had good experiences with PAM8610-based amplifier boards, even for high-fi purposes, but these chips are now not anymore recommended for new designs, so if you don't end up buying such an amplifier but building one from scratch, rather go for the PAM8006A or PAM8320.
To wire up your radio to the car radio power and speaker, depending on the age of your car, you'll most likely encounter ISO 10487 as connector standard. Check that, though.