Should Christians Witness to Muslims at the Mosque?

My friends and I often wait outside on the public sidewalk to give the message of the gospel to Muslims as they are leaving Friday prayer. Should we do this? Yes and here is why:

Matthew 28:19–20
“Go therefore and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, teaching them to observe all that I have commanded you. And behold, I am with you always, to the end of the age.”
Acts 1:8
… “But you will receive power when the Holy Spirit has come upon you, and you will be my witnesses in Jerusalem and in all Judea and Samaria, and to the end of the earth.”

WHAT IS THE APOSTOLIC MODEL FOR EVANGELISM?
a big part of what the early church was evangelize AT THE JEWISH SYNAGOGUES.
It seems that mosque evangelism is a parallel case ...

Acts 9:20, 22-23
20 And immediately he proclaimed Jesus in the synagogues, saying, “He is the Son of God.” … 22 But Saul increased all the more in strength, and confounded the Jews who lived in Damascus by proving that Jesus was the Christ. 23 When many days had passed, the Jews plotted to kill him …

Acts 13:4–5 Saul and Barnabas
4 So, being sent out by the Holy Spirit, they went down to Seleucia, and from there they sailed to Cyprus.
5 When they arrived at Salamis, they proclaimed the word of God in the synagogues of the Jews. And they had John to assist them. -The rest of the chapter tells how they did the same thing at Antioch in Pisidia

Acts 14:1-7
1 Now at Iconium they entered together into the Jewish synagogue and spoke in such a way that a great number of both Jews and Greeks believed. 2 But the unbelieving Jews stirred up the Gentiles and poisoned their minds against the brothers. 3 So they remained for a long time, speaking boldly for the Lord, who bore witness to the word of his grace, granting signs and wonders to be done by their hands. 4 But the people of the city were divided; some sided with the Jews and some with the apostles. 5 When an attempt was made by both Gentiles and Jews, with their rulers, to mistreat them and to stone them, 6 they learned of it and fled to Lystra and Derbe, cities of Lycaonia, and to the surrounding country, 7 and there they continued to preach the gospel.

Acts 17:1–8
1 …they came to Thessalonica, where there was a synagogue of the Jews. 2 And Paul went in, as was his custom, and on three Sabbath days he reasoned with them from the Scriptures, 3 explaining and proving that it was necessary for the Christ to suffer and to rise from the dead, and saying, “This Jesus, whom I proclaim to you, is the Christ.” 4 And some of them were persuaded and joined Paul and Silas, as did a great many of the devout Greeks and not a few of the leading women. 5 But the Jews were jealous, and taking some wicked men of the rabble, they formed a mob, set the city in an uproar, and attacked the house of Jason, seeking to bring them out to the crowd. 6 And when they could not find them, they dragged Jason and some of the brothers before the city authorities, shouting, “These men who have turned the world upside down have come here also, 7 and Jason has received them, and they are all acting against the decrees of Caesar, saying that there is another king, Jesus.” 8 And the people and the city authorities were disturbed when they heard these things.

Acts 17:10, 16-17
10 The brothers immediately sent Paul and Silas away by night to Berea, and when they arrived they went into the Jewish synagogue. …
16 Now while Paul was waiting for them at Athens, his spirit was provoked within him as he saw that the city was full of idols.
17 So he reasoned in the synagogue with the Jews and the devout persons, and in the marketplace every day with those who happened to be there.

Acts 18:1, 4, 19
1 After this Paul left Athens and went to Corinth.
4 And he reasoned in the synagogue every Sabbath, and tried to persuade Jews and Greeks.
19 And they came to Ephesus, and he left them there, but he himself went into the synagogue and reasoned with the Jews.

Acts 18:26–28
26 [Apollos of Alexandria] began to speak boldly in the synagogue, but when Priscilla and Aquila heard him, they took him aside and explained to him the way of God more accurately.
27 And when he wished to cross to Achaia, the brothers encouraged him and wrote to the disciples to welcome him. When he arrived, he greatly helped those who through grace had believed,
28 for he powerfully refuted the Jews in public, showing by the Scriptures that the Christ was Jesus.

Acts 19:8–9
8 And he [Paul] entered the synagogue and for three months spoke boldly, reasoning and persuading them about the kingdom of God.
9 But when some became stubborn and continued in unbelief, speaking evil of the Way before the congregation, he withdrew from them and took the disciples with him, reasoning daily in the hall of Tyrannus.