The hosts twice led in a thrilling contest after goals from Welsh pair Neal Eardley and David Vaughan, and thought they had snatched a late winner when Marlon Harewood struck, only to be flagged offside.
Holloway said: "In general the biggest bugbear I have got is we didn't hold onto the lead long enough, but it is coming.
"I think the boys are playing so well. If we can keep doing that I think results will come our way.
"We are looking like a Barclays Premier League team. I thought we were terrific.
"I was pretty excited about the way we played and we haven't played as well as we have done.
"We're at the top level and we're starting to look as good as some of the sides we are playing.
"We need to keep going, but considering what some of our boys are getting paid, it's absolutely remarkable."
Blackpool now have 14 from points from 11 games and Holloway thought they had two more when substitute Harewood struck in the last minute.
"I didn't hear the whistle and was celebrating what I thought was us scoring the winner," he said. "I danced down the steps, I didn't hear the whistle."
Holloway, however, having recently been fined for criticising a referee, refused to comment on the decision itself.
He said: "I'll have to watch it again, I haven't seen it. It is what he has given because he is the man in charge. I've learnt that, let's get on with it.
"But I was very pleased with Marlon's finish."
Everton responded quickly to both Blackpool goals.
Eardley's brilliant 10th-minute free-kick was cancelled out by Tim Cahill's 50th Premier League goal, while former Blackpool loanee Seamus Coleman immediately replied after Vaughan's 48th-minute effort.
Irish winger Coleman is emerging as one of the Premier League's brightest young stars and Holloway remembers him with fondness after his spell at Bloomfield Road last season.
Holloway added: "I've just told him he should have put it wide!
"He's a lovely gentleman and it shows what he feels for us. He's professional, he scored a goal, but he didn't celebrate.
"But it's his first Premier League goal and he deserves to celebrate."
Everton also had several chances to settle the match and manager David Moyes felt his side should have taken more than a point.
The Scot said: "For me it is a big two points dropped. We had enough chances, but you have to credit Blackpool. They dug in and made it hard in the last 10 minutes.
"I thought we had numerous opportunities in the first half to create goals and I thought we created some clear chances in the second half and didn't take them.
"We should have seen it off and got all three points. I would have gambled for three (points) today rather than one.
"But when we gambled, Blackpool did as well. It became end to end."