If you know God at all you know that is not true. The only way to salvation is to accept Jesus Christ as Lord and Savior and receive His righteousness. All our works are as dirty rags
If Jesus Christ were the only way to heaven then you wont find anyone there who got there more than 2000 years ago. I believe that being good and honest and basically obedient to the Nine Commandments you will be at peace at the end of your life. If there is heaven after that I doubt that even Jesus himself would turn you away.
Works based Salvation always fosters ‘Pride’...one of the hardest sins to overcome and which is a ‘stronghold’ on the heart and mind. I think often it’s difficult for those who depend on what ‘they do’ to look at the cross....for in doing so they will clearly see their own sin put Jesus there.
John 14:6