Two great things go together: the great commandment and the great commission. They do not compete with each other, they compliment each other (and they do so even better than peanut butter and chocolate). Obedience to the great commandment makes obedience to the great commission a no-brainer. Obedience to the great commission requires seeing others become obedient to the great commandment.
So evangelism and worship meet in the disciple-making process. That’s why worship can have an evangelistic impact. That’s why evangelism isn’t finished unless it leads to worship.