But being "drawn to Christ" inevitably leads to the new birth. If you read the Bread of Life Discourse in Jn 6 carefully, Jesus said that all that the Father gives to Him will come to Him and he will raise them up on the last day (see also Jn 17:2). This effectually drawing of God's elect is necessary since the natural man (unregenerate) have no heart for God and do not seek Him (Rom 3:11).Yes all people are drawn to Christ.
Being drawn to Christ does not equal salvation.
Those who are drawn must believe.