As well as several hefty challenges from the Toffees - with midfielder Darron Gibson fortunate not to be sent off for twice pole-axing Theo Walcott in the first half - television pictures showed England international Jack Wilshere, just back from a six-week injury lay-off, involved in a bust-up with Everton's Kevin Mirallas as the players walked off at the break.
He reacted angrily after appearing to be squirted with a water bottle - an incident which could yet be reviewed by the Football Association.
Moyes said: "Do you mean when we were a little bit rough with the tackling? Up north we do that quite often, that's actually allowed in football.
"We weren't going to come here and let Arsenal stroke the ball around and make 600 tackles."
Moyes added: "I am pleased with the performance, and with the result. You are never disappointed taking a point at the Emirates, you can't be with the quality they have here.
"We went to try and win it. We knew if we got three points here we would have a real chance (of the top four), but a point keeps us ticking along."
- Sports & Recreation
- Darron Gibson
- Kevin Mirallas