I forgot to mention that to spare myself a migraine (I've tried running spreadsheets with tons of statistics and dozens of nations... dear god), statistics are based off a game file, which otherwise has no bearing on this forum game.
There are technically no alliances as a result, BUT, that doesn't mean I can't make things as if there were. Would make things more interesting, anyway.
In light of that, I imagine Russia will have no sympathies for Austria-Hungary given their antagonism over the Balkans, and neither would Italy given their irredentism. However, there is still the issue of France and Britain, and that is where our primary concern would be; the prospect of Germany doubling in size likely doesn't sit well with them, which is problematic given they would give us a headache (if manageable) in Europe and utterly outnumber us overseas. We could always wait for them to go to war with each other, however!
In the meantime we can make use of the fact we have one of the strongest per capita economies on Earth to build a massive military capable of rapidly seizing territory; we could also work on establishing shipping lanes to Africa. The Great Powers are rather lacking in deploying machine gun technology (which we have invented first, as a note; Deutschland ueber alles); it would thus be easy to gain a huge defensive advantage in Africa by setting up machine gun posts in all the colonies. They will make a world of difference against the inferior local troops versus what difference they'd make against potent European forces - we may best the French on the seas but they have more men and can rival us in training.
Germany has lots to do on the civilian front, as the colonies are far from well-developed. Taking over parts of the Congo was not an easy task, requiring we strain our local manpower reserves to the breaking point. There is lots of room for becoming non-interventionist barring an excellent opportunity.
Should France ever be distracted, an invasion of Siam could pay dividends by granting us clout in Asia, though the real prize over there would be to increase our influence in China or Tibet. Tsingtao is horribly vulnerable to enemy incursion, after all.
Though South America is rich in opportunities, the Americans are a presumptuous sort who feel it is their right to govern the affairs of the whole of the New World, so we most definitely do not want to try that route until we have a fleet that could tear the East Coast to shreds. That they promise not to interfere with existing colonies, however, means we could take the local Spanish, Danish, Dutch, and French territories without precipitating a war, though we're sure they'd grump. It'd be good to have a local power base for if we ever exert our influence on the region; never mind the fact Spain's military forces are absolute trash and we would roll right over them.
The fact the Ottomans have no real friends also makes them a fairly tempting target, now that I consider it.