The example sentence is very clumsy, because it uses such in close proximity with two different meanings. I'm guessing the intended sense could be paraphrased (without using such) as...
1: We [and other people, for example, our neighbors] are helping the people of our country [and we are also helping [those / some] other people who are willing to receive help from us].
The essential problem here is that and such other people as are our neighbors is a noun phrase, that syntactically must represent an additional subject (of the verb helping), not an additional object. If we consider...
2: Peter is helping Paul and Mary
3: Peter and Mary are helping Paul
...it should be obvious that the highlighted element in #2 extends the object (both Paul and Mary are being helped by Paul), whereas #3 extends the subject (both Peter and Mary are helping Paul). But because of the clumsy phrasing in OP's example, it's difficult to tell whether the speaker is helping his neighbours, or his neighbours are also helping "other people".
It's also difficult to tell whether the two different instances of "other people" refer to the same group of people. The "syntactic default" interpretation for the first instance is people who are like the people of our country, but the default for the second is people who are willing to receive help from us. Which doesn't make much sense to me.
I help such people as are here is a formal / dated way of saying I help those people who are here, which is best avoided by learners. But note that the strong implication is I help only those people who are here.
BUT I help people such as are here is a different construction - also formal / dated, but not so much as the above. This second version unambiguously states that I help people who are like the people here (usually with the strong implication that I also help the actual people who are here, but not necessarily1).
1 For example, I might be a "special needs" teacher visiting a school in another district. Where if I say I help people such as [those who] are here, that doesn't mean I help the actual people at the other school - just that the people I do help are like them.