I have a Garmin 780, while it is not the 765T the charging mechanisms are not that different I suppose.
"Charging the unit with a third party charge may cause the unit to become inoperable due to the way the charge is transferred from the car to the unit and void the warranty. Please only charge the unit with the car charger that came with it that plugs into the mount. "
I call B.S. on that one, yes it may void your warranty, but it does not become inoperable, at least it has not in my case. I use this direct wire kit from Glissom to charge my 780 on my motorcycle(s).
They make a cord for the 765T as well - of course Garmin will claim void warranty and crap but at least for me the 780 has been working on the motorcycle(s) for about an year now.
765T cord.
You could also get a 12V cigarette lighter style power outlet and mount it to the dash and plug in your GPS that way, but I didn't go that route.
My garmin 765T unit clips into a small mount (which the traffic / power cord inserts into). That piece attatches to the ball of the suction cup mount. If i decide to order a RAM mount for the unit, do i need to order anything (what they call a cradle) to actually hold the unit in place from them (or do i just order a mounting ball, and a stem with another ball on the end that i can clip to mount that came with the unit)? My unit requires this clip in order to use the traffic function.
I don't know what clip you were talking about for the traffic function, but at least for the 780 the traffic receiver was in the cigarette lighter plug and not in the cradle itself.
Of course, if that is also the case with the 765T then using the direct wire power cord will result in the traffic functions not being enabled.
I actually like Garmins cradle, this way if the cradle's 12V power contact wears out and they eventually do, I can get the spare out (yes I bought a spare) to replace the worn out cradle. However, in my personal opinion I would not use the cradle's ball mount with the Garmin supplied suction mount - unless you want your GPS flying into your face the one time you hit a good bump on the road. The weakness may not lie in the suction mechanism, but I feel that the ball attach mechanism on the Garmin car mounts are a bit flimsy.
You will need a GPS cradle which RAM also makes and then a suitable handlebar or reservoir or stem nut ball mount, you will then need a RAM arm which will attach your RAM GPS cradle to your RAM ball. I have a handlebar mount on one motorcycle which has been there about an year and a reservoir mount on the Feej since Dec of last year. They work great and secure the GPS very well.