むやみに自殺を否定しようとは思いませんが、親が子どもを道連れにするのはぜったいにやめてほしい、と思います。

、、。

I don't mean to blindly condemn suicide, but I absolutely want parents to stop taking their children with them.

Literal

Of-course, suicide [object-を] recklessly deny try-to [topic-は] not-think [but-が], parent [subject-が] child [object-を] companion [to-に] do [topic-のは] absolutely stop-[want-てほしい], [quotative-と] think.

道連れにする ('to take along as a companion') — here in the devastating context of murder-suicide. むやみに ('recklessly, indiscriminately') moderates the speaker's position — they're not thoughtlessly anti-suicide. ぜったいにやめてほしい ('I absolutely want them to stop') is a strong emotional plea. The sentence navigates a deeply sensitive topic with careful hedging (~しようとは思いませんが) before the firm core statement.