Minor militaries are usually completely unimpressive and they generally aren't allied with anyone.
What I would do if it's enough of a problem is just declare war, saunter over, blow up their bases, and then get a peace.
Vouila, no more Influence Bases. It also does wonders for getting the Minors to... ahem... surrender Resources that they are holding.
Or better yet, just conquer them. That's what minor races, after all, are there for. ; )