"I think there are some illnesses that are so terrible, it is better to not have been born than to live with that illness"
I consider this statement to be logically inconsistent, but from respect am not willing to debate it with, specifically, you. Being unwilling to either debate or accept it I will leave it without a response and try to change the direction of the argument. Here goes -
However, above, you said "if they didn't have any kids, I'd say - fine." which logically contradicts "But that's OUR choice. ". This means we are not discussing the government, but rather whether you believe the government's actions are fine, which is entirely different. We are left with two possible conclusions:
1. You mis-wrote, meaning something more like "wow, these people are irresponsible, but one still shouldn't stop them"
2. You do believe that the reproductive choices of individuals should, under some circumstances, be restricted by society. Somehow you distinguish yourself from those individuals. How?
I, obviously, would go with option 1.
There are things people can legitimately choose for their children. Non-existence is among those things. This is a very restricted choice - it is no longer allowed when the child may be presumed to have an opinion, i. e. after birth. It also should not be allowed in any way, shape, or form, to be made by anyone other than the parents, because only they may be presumed to experience pain from this choice.
The government does not experience pain. That makes it easy for the government to choose, which is why it should not be allowed to do so.
If it provides tests (and I agree, that it should) and abortion opportunities (and I believe that it should) this should not be under any circumstances connected to any kind of hints, gentle or otherwise, that might in any way influence the choice. This is difficult, but appropriate.