I have no data and neither do you, but I'll bet they did when the Roman army first went into Gaul.
3. Rome controlled vast sums of wealth from which to sustain a large army on foreign soil
I disagree. Relatively speaking the US is in the same position. You can bet that if the US were ever seriously threatened there would be plenty of money to defend it.
4. Divide and conquer may be a decent temporary tactic for us but not a winning tactic like it was for Caesar due to the fact that it is a strategy that takes a long period of time... which growing nuclear threat makes untenable
The nuclear threat from Islamists has made our new friendship with Pakistan all that more a piece of diplomatic genius. Mutually Assured Destruction (MAD) has historically extended time constants for agression so I would again disagree with your counter.
"Mutually Assured Destruction (MAD) has historically extended time constants for agression"
I trusted the old Soviet bloc with MAD but not the Islamofascists. Do you?