Are all men, then, saved by Christ just as they perished through Adam?

No. Only those are saved who by a true faith are grafted into Christ and accept all His benefits.

Proofs

• No. Only those are saved who by a true faith are grafted into Christ and accept all His benefits. (Matthew 7:14; John 1:12; John 3:16; John 3:18; John 3:36; Romans 11:16–21)