I might ask in this way: Why passive is used in this sentence? Which one make more sense? Is first sentence passive?
Many had to be wrestled into straitjackets.
Many had to wrestle into straitjackets.
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The difference is just the passive/active verb.
To be wrestled into a straitjacket means that somebody else is putting the straitjacket on you - and I understand that would mean you don't want it and so you are fighting back. This is probably the sense you want.
To wrestle into a straitjacket means you are putting it on yourself (but it is kind of difficult, which is why you have to wrestle)