The "crashing" entry is how I teach this to beginners. Later, they learn to use it with more...finesse - more technically.Yes, it's a commonly taught and effective way to enter your attackers space. The technique itself is a double empty hand block. Another option is to cover your head (bring both hands up to block your head, think helmet) and "crash" into the attacker stopping their momentum and closing the distance to clinch. From the clinch you can control, strike (elbows, knees) or take down. As an LEO, remember, your preferred position should be with the subject on the ground, and you on your feet (if working alone). If working with a partner, then you or your partner can control the subject on the ground (Face down stabilization) while the other provides cover.
FYI - I was Program Manager fof Defensive Tactics / Legal Considerations at a Federal Law Enforcement Academy.