It wouldn't hurt to start looking into a bigger alternator - if you're close to max capacity on your stock unit (40 amps), it'll probably go out on you sooner rather than later. Another thing to look at is how the cab's systems were wired into the tractor electrical system. If you're sharing pre-existing circuits, you might be pushing the OEM wiring to its limits which would definitely exhibit the symptoms you mentioned. If it's wired directly into the main power, then the dimming and blower-slowing is a sign that your alternator is at its limit.
It should be relatively easy to find a replacement alternator - try getting a cross-reference from the existing one or finding a compatible unit from the mounting measurements. Then, go to your local Kragen (or whatever they call themselves in your neck of the woods) and get one of their lifetime-replacement units for around $40. You'll probably need around 65 amps - and if you use your tractor for short bursts of work in cold weather, an 80 amp alternator wouldn't be a bad idea. You'll notice the extra occasional load on the engine at idle, but I think the governor in the engine should keep things running just fine.
To figure out the size of alternator you'll need, just take the total power load (watts) and divide by the system's voltage (12 volts nominal). In your case, with around 680 total watts of accessory load, you'll need about 57 amps just to run the accessories at full load - and then you need around an extra 10 amps to charge the battery. So, 65 amps should do OK.