The way they are carried out is different! There are some people who insist on following the old law, not that it even matters who or what it points to, now we are in the new law - there is a difference, regarldess that they both point to Christ.Not going back to the law,i dont know why you dont understand that, the sacrifices represented Christ, not the laws, no man was redeemed from the laws, ever.
Abraham didnt look to the laws, he looked to God and beleived in the promises he literally would not recieve in his lifetime, yet he believed knowing God they would be recieved.
Just as Daniel spoke of the promise before it was even recieved, knowing God, he said in the Holy Ghost before the promise "The Lord said to my Lord, sit at my right hand till I put your enemies under Your feet"
He didnt look to the laws, he followed them looking to Christ, that he would recieve even in death the promise, as all the righeous do.
The law always pointed to Christ and never redeemed anything, they were followed by holy men because holy men followed God. As i have said multiple times God was never pleased in animal blood, nor was He ever pleased in animal blood given as per commanded when it was done in emptyness, He was always pleased in the inward being performed outwardly in His command, which in the O.T was the law. He gave the law. He is the law.
The difference being the requirements of those laws.